Field of the Invention
[0001] The invention relates to the protection against radioactive radiation, and more specifically
it deals with a method for burying radioactive wastes in space.
State of the Art
[0002] The amounts of radioactive wastes are increasing nowadays in view of ever increasing
use of nuclear power plants and instruments containing radioactive isotopes, and disposal
of such wastes presents a tremendous problem.
[0003] The protection against radioactive radiation from such wastes is most frequently
ensured by burying them in the soil or in the ocean. Thus low-activity liquid and
gaseous wastes are discharged for dissolution in water in open water reservoirs or
into sea streams, or they are emitted into atmosphere after preliminary dilution with
water or air. To dispose of industrial radioactive wastes of a medium specific activity,
they are concentrated and then enclosed in special tightly sealed containers which
are placed for a long-term storage (tens of years) in so called burial grounds in
the form of isolated underground halls (cf. SU, A, 803874). This method for burying
radioactive wastes does not, however, rules out their effect on the Earth biosphere
during a long-term storage. It calls for substantial technical and financial effort
for the construction and operation of burial grounds and does not make it possible
to ensure a reliable burial of radioactive wastes (with a high activity) which release
much heat to heat the surrounding rocks which is not safe for the environment and
may result in a damage to the ecology of the Earth.
[0004] Other methods are also known for burying radioactive wastes in space (Jr. Astronautics
and Aeronautics, 1980, IV, vol. 18, p. 26-35), which include burial of radioactive
wastes on a circular heliocentric orbit extending between the orbits of the Earth
and Venus.
[0005] This prior art method comprises placing radioactive wastes in a space module and
launching to an orbit with, subsequent formation of a heliocentric burial orbit. The
heliocentric burial orbit is formed by imparting to the space module two velocity
impulses of which the first impulse is imparted at leaving the terrestrial orbit for
moving to a transitional elliptical heliocentric orbit, and the second impulse is
imparted at this heliocentric orbit at the aphelion thereof for moving to the end
circular heliocentric burial orbit.
[0006] The above-described method cannot, however, bring a solution to the problem of safety
for the Earth because in the event the first velocity impulse is not sufficient or
in the event the second impulse cannot be imparted to the space module, there is a
risk that the space module can reenter the range of the gravity field of the Earth
which might result in the module falling down to the ground.
[0007] This method for burying radioactive wastes calls for substantial power consumption
because two velocity impulses have to be imparted to a space module, and additional
fuel is needed so that the useful load carried by the space module to the burial orbit
is reduced.
Summary of the Invention
[0008] The invention is based on the problem of providing a method for burying radioactive
wastes in space which can ensure launching of a space module containing radioactive
wastes to, and retention of the module on a chosen orbit for a preset time period
so as to ensure ecological safety of the Earth and preservation of natural environment
on the planets of the Solar system while lowering power requirements.
[0009] This problem is solved by the fact that in a method for burying radioactive wastes
in space, comprising placing radioactive wastes in a space module and inserting it
to a near-Earth orbit, with subsequent transfer of the space module to a heliocentric
burial orbit, according to the invention, the heliocentric burial orbit is conjugated
with an orbit of at least one planet chosen from those in the Solar system for which
the period of complete revolution is set forth which corresponds to a time after the
lapse of which the space module may eventually hit the chosen planet and which is
at least equal to the time during which the intensity of radiation of the wastes decreases
to a preset level, the plane of the orbit being inclined with respect to the ecliptic
plane at an angle chosen in such a manner that this orbit should extend at a distance
from the orbits of other planets of the Solar system equal to at least the radius
of the sphere of influence of the gravity fields of such planets.
[0010] The provision of the heliocentric burial orbit conjugated with the orbit of a chosen
planet allows safety of waste burial to be enhanced as a result of a reduced number
of velocity impulses to be imparted to the space module for moving from the terrestrial
orbit to the heliocentric burial orbit so as to substantially reduce power requirements
for interorbital flights and increases the probability of successful flight of the
space module to the burial orbit. In addition, this allows the size of the area of
the pre-solar space used for burial of radioactive wastes to be reduced.
[0011] The preset full orbital period of the space module in a chosen orbit corresponding
to a reduction of intensity of radioactive radiation of wastes to a preset level rules
out a premature rendevouz with the planet, whereby safety of burial of radioactive
wastes is enhanced.
[0012] The inclination of the plane of a chosen burial orbit with respect to the ecliptic
plane allows safety for planets of the Solar system to be ensured.
[0013] According to one embodiment of the invention, before the space module is inserted
into a heliocentric orbit, it is inserted into an intermediate elliptical heliocentric
orbit conjugated with the orbit of the Earth, and the space module is then transferred
to the heliocentric burial orbit coinciding with the orbit of the Earth from the point
of conjugation of these two orbits, the distance from the space module to the Earth
being chosen at least equal to the radius of the sphere of influence of the gravity
field of the Earth.
[0014] This contributes to the ecological safety of burial owing to the use of a ballistically
stable orbit of the Earth which is the best studied body in the Solar system, and
power requirements for the transfer to the burial orbit can be reduced.
[0015] In accordance with another embodiment of the method, before inserting a space module
to a heliocentric burial orbit, it is inserted to an intermediate elliptical heliocentric
orbit conjugated with the Earth orbit, and this orbit is formed with respect to the
Earth orbit as a halo-orbit with the center in the Earth orbit, any point of the halo-orbit
being spaced at a distance from the Earth which is at least equal to the sphere of
influence of the gravity field of the Earth. Apart from ecological safety, this ensures
the possibility of monitoring of the burial during the period the radioactive wastes
are retained in the burial orbit, whereby control and correction based on monitoring
results are possible to enhance reliability of burial and safety for the Earth.
[0016] In still another embodiment of the invention, before inserting a space module into
a heliocentric burial orbit, it is inserted into an intermediate elliptical orbit
conjugated with the orbit of the Earth and with an orbit of another planet chosen
from the Solar system, and the space module is sent along this orbit to the sphere
of the gravity field of this planet, whereafter the space module is transferred into
a heliocentric burial orbit by carrying out a perturbative manoeuvre in the gravity
field of the chosen planet with a simultaneous alteration of the radius of perihelion,
eccentricity and inclination with respect to the ecliptic plane. The heliocentric
burial orbit is formed as an ellipsis with the perihelion spaced at a distance from
the Sun at which the radiation incident upon the radioactive wastes turn them into
plasma, or the heliocentric burial orbit is formed with an eccentricity at least equal
to unity.
[0017] This embodiment of the method allows power requirements for launching a space module
containing radioactive wastes to a burial orbit to be reduced where the wastes are
completely annihilated in the orbit by turning them to plasma or from where they are
sent to an area outside the Solar system.
[0018] Therefore, the method for burying radioactive wastes in space according to the invention
brings solution to the burial problem with an enhanced ecological safety both for
the Earth and for other planets of the Solar system with lower power requirements.
Brief Description of the Drawings
[0019] The invention will now be described in detail with reference to the accompanying
drawings illustrating specific embodiments of the invention, in which:
Fig. 1 schematically shows a general view of a spacecraft with a space module mated
thereto and containing radioactive wastes;
Fig. 2 schematically shows a general view of a launcher missile with the spacecraft
installed thereon;
Fig. 3 schematically shows a flight path of the launcher missile in inserting the
space module into a near-Earth orbit;
Fig. 4 schematically shows the initial portion of a space path of the space module
towards a heliocentric orbit;
Fig. 5 schematically shows planet orbits and a burial orbit outside the Earth orbit
(in the plan view);
Fig. 6 is a view taken along arrow A in Fig. 5;
Fig. 7 is ditto of Fig. 5 showing position of the orbits in space;
Fig. 8 is a schematic representation of conjugation of a burial orbit with the orbits
of two chosen planets;
Fig. 9 schematically shows the orbits of the planet and a burial orbit inside the
Earth orbit;
Fig. 10 is ditto of Fig. 9, with the burial orbit intersecting the orbits of the planets;
Fig. 11 schematically shows portions of the burial orbits and Earth orbit at the moments
they are coming close to each other;
Fig. 12 is a functional relationship for the distance from the module to the Earth;
Fig. 13 a functional relationship for a parameter characterizing the level of radioactivity
of wastes versus time;
Fig. 14 shows functional relationships for the number of revolutions during which
the wastes are kept in a burial orbit and the total velocity impulse versus the full
orbital period in this orbit;
Fig. 15 schematically shows the orbit of the Earth and a burial orbit (in the plan
view) when the module is in the Earth orbit, with the outside position of an intermediate
orbit of the module;
Fig. 16 is ditto of Fig. 15, in an orbital system of coordinates with the respect
to the Earth;
Fig. 17 is ditto of Fig. 15, with the inside position of an intermediate orbit of
the module;
Fig. 18 is ditto of Fig. 17, in an orbital system of coordinates with respect to the
Earth;
Fig. 19 schematically shows a burial orbit and the Earth orbit (in the plan view)
when the module is inserted into a halo-orbit with respect to the Earth;
Fig. 20 is ditto of Fig. 19, in an orbital system of coordinates with respect to the
Earth;
Fig. 21 is ditto of Fig. 20, with a turned plane of the halo-orbit;
Fig. 22 is a view taken along arrow B in Fig. 21;
Fig. 23 schematically shows a path of flight of the module with respect to the Earth
in forming a halo-orbit after one revolution of the module in an intermediate orbit;
Fig. 24 is a view taken along arrow C in Fig. 23;
Fig. 25 schematically shows a path of flight of the module with respect to the Earth
in forming a halo-orbit around the Earth (in the plan view);
Fig. 26 is a view taken along arrow D in Fig. 25;
Fig. 27 schematically shows orbits of the planets and a burial orbit (in the plan
view) during flight of the module towards the Sun;
Fig. 28 schematically shows a path of a perturbative manoeuvre of the module in a
gravity field of a planet with a flight pattern of Fig. 27;
Fig. 29 schematically shows the relative position of velocity vectors of the flight
of the module and a planet in carrying out the manoeuvre of Fig. 28;
Fig. 30 is ditto of Fig. 28 showing position of the path in space;
Fig. 31 is ditto of Fig. 29 showing the position of the velocity vectors in space,
wherein C₄₆, C₄₇ are lines normal to the orbits;
Fig. 32 schematically shows planet orbits and a burial orbit (in the plan view) during
the module flight to an area outside the Solar system;
Fig. 33 schematically shows a path of a perturbative manoeuvre of the module in the
gravity field of a planet with a flight pattern of Fig. 32;
Fig. 34 schematically shows the relative position of velocity vectors of the flight
of the module and of a planet in carrying out a manoeuvre of Fig. 32.
Preferred Embodiments of the Invention
[0020] A method for burying radioactive wastes in space according to the invention is carried
out in the following manner.
[0021] Radioactive wastes 1 (Fig. 1) to be buried in space are loaded into a carrying container
2 and transported to a launching base where they are placed into a space module 3
mated to an insertion spacecraft 4 of a conventional type having accelerating stages
5.
[0022] Module 3 with spacecraft 4 is placed into a cargo carrier container 6 (Fig. 2), and
container 6 with module 3 and spacecraft 4 is mated to a conventional launcher rocket
7 which is then launched from the Earth 8 (Fig. 3). As a result module 3 and spacecraft
4 are inserted into a near-Earth orbit 9. A necessary increment of the flight velocity
is then imparted to module 3 so that module 3 is transferred by means of spacecraft
4 into a heliocentric burial orbit. For that purpose a necessary increment of the
flight velocity is imparted to module 3 at a boost path 10 (Fig. 4) so that module
3, which moves along a path 11, can leave a sphere 12 of influence of the gravity
field of the Earth 8. Radius r
o of sphere 12 of the Earth influence is from 0.95 to 2.5 million km depending on the
final result.
[0023] A vector of velocity U
o of the flight of module 3 with spacecraft 4 with respect to the Earth at a point
13 on sphere 12 of influence of the gravity field of the Earth adds to a vector W
o of a velocity of the orbital movement of the Earth around the Sun 14 to determine
a vector V
o of a departure velocity of module 3 with spacecraft 4 which, together with a vector
R
o of position of module 3 with respect to the Sun, sets up parameters of a heliocentric
burial orbit 15.
[0024] In embodiments of the method in which the departure velocity V
o complies with the condition V₀₂>V₀>W₀ (wherein V₀₂ is the escape speed in the Earth
orbit at which the module leaves the Solar system) orbit 15 (Fig. 5) is in the form
of an ellipsis extending outside an orbit 16 of the Earth. Orbit 15 is conjugated
with orbit 16 of a chosen planet of the Solar system (the Earth orbit in this embodiment)
with an intersection or tangency (at the moment the orbits are spaced at a distance
of maximum r
o) or in opposition (with the minimum distance between the orbits that does not exceed
10 r
o and is at least equal to r
o).
[0025] An example of implementation of the method in which heliocentric burial orbit 15
is conjugated with orbit 16 of the planet Earth with tangency is given in Figs. 5,
6, and 7. In this case a conjugation with the Earth orbit is chosen to ensure minimum
power requirements.
[0026] The position of burial orbit 15 in space is determined by an angle "i" of inclination
of its plane (Fig. 7) with respect to the ecliptic plane (the plane of orbit 16 of
the Earth). This angle "i" is chosen in advance in planning the flight to the burial
orbit. This must take into account the inclination of an orbit 17 (Fig. 6) of another
planet of the Solar system which intersects the plane of orbit 15 and also the angular
position of a nodal line 18 of orbit 17 (Fig. 5) with respect to a certain constant
direction 19 and the position of the Earth in its orbit 16 at the moment of departure
of module 3 (i. e., the launching date). The plane of burial orbit 15 intersects the
plane of orbit 17 of another planet (e. g. Mars) along a line 20, the orbit 17 proper
intersecting the plane of burial orbit 15 at a point 21 (portions of orbits 15 and
17 which are above the ecliptic plane are shown with solid lines and the respective
planes of the orbits are shaded in Fig. 5). The choice of angle "i" of inclination
of burial orbit 15 is made taking into account evolution of orbits of planets of the
Solar system and the evolution of the orbit proper during a time interval from the
moment module 3 has been inserted into burial orbit 15 until the moment when intensity
of radioactive radiation of the wastes decreases to an admissible level. In making
choice of angle "i" of inclination of burial orbit 15, points 22 (23) and 24 (25),
respectively, are determined in this orbit and in orbit 17 of another planet at which
the distances between the orbits are minimal. These distances should not exceed the
radius r
o of the sphere of influence of the gravity field of another planet so that perturbations
of the orbit under the effect of this field can be insignificant. At the same time,
the minimum distance from orbit 15 to an orbit 26 of another planet (e. g., Jupiter)
is controlled which is achieved at a point 27 and must be greater than a radius r₂
of the sphere of influence of this planet for the same reason.
[0027] During the flight of module 3 in burial orbit 15 at the initial stage, corrections
of the orbit parameters can be made at preset points 28 to shift the perihelion of
orbit 15 away from orbit 16, to improve accuracy of achievement of the desired burial
parameters, and to ensure a correct phase at transit over the perihelion of orbit
15.
[0028] It should be noted that the launching date is preferably chosen in such a manner,
bearing in mind the ecological safety for the Earth during evolution of its orbit
16 over thousand of years of the flight of the wastes in burial orbit 15, that the
departure from the Earth orbit take place in its aphelium (α
o) in the case orbit 15 extends outside. It should be also noted that orbit 15 is phased
by corrections to ensure the ecological safety for the Earth with the aim of ruling
out a premature entrance of module 3 into the sphere of influence of the Earth 8.
[0029] An example of conjugation with the orbits of two planets chosen for the conjugation
- with orbit 16 of the Earth (opposition) and with orbit 26 of the Jupiter (intersection)
is shown in Fig. 8. The implementation of the method for burying radioactive wastes
in this examples, including the choice of the angle "i" of inclination of the orbit
involves operations similar to those used in the preceding example, including corrections
aimed at increasing the elevation of the perihelion of burial orbit 15 which is shown
at 15 before the correction and at 29 after the correction.
[0030] It should be noted that shading in Fig. 8 shows those half-planes of burial orbit
15 and orbit 26 of the Jupiter which extend above the ecliptic plane.
[0031] In embodiments of the method in which the departure velocity V
o complies with the condition W
o>V
o> 0 orbit 15 is in the form of an ellipsis extending internally with respect to orbit
16 of the Earth (Figs. 9, 10). In these embodiments burial orbit 15 may as well be
conjugated with orbit 16 of the Earth with tangency (Fig. 9), intersection (or opposition)
(Fig. 10) and it may also be conjugated with orbit 26 of one of chosen inner planets
of the Solar system. In this case, similarly to the above-described embodiments of
the method and bearing in mind the same ecological safety considerations, it is preferred
that the launching date be chosen in such a manner as to ensure the departure from
the Earth in its perihelion (π
o). A correction of burial orbit 15 is carried out with the same aim as described above.
[0032] Procedural basis for making choice of parameters of burial orbit 15 is illustrated
in Figs. 11 through 14 for an external position of this orbit with respect to orbit
16 of the Earth when these two orbits are conjugated with tangency. It will be apparent
that this conjugation of the orbits may be conducive to a premature entry of the module
containing wastes (or entrance of wastes 1 if module 3 has been damaged under the
effect of factors of the space flight) into the sphere of influence of the Earth unless
certain steps are taken in advance. Such re-entry can result in wastes 1 either reaching
the surface of the Earth or moving to a new heliocentric orbit with unforeseeable
results.
[0033] This situation can be ruled out if the relative position of module 3 and the Earth
at moments they come to be the closest to each other is analyzed for each revolution
"n" of burial orbit 15, with the formation of such a period P of complete revolution
of module 3 along burial orbit 15 around the Sun 14 and such an initial position of
module 3 in orbit 15 (including corrections at first revolutions in the orbit) that
an eventual rendevouz with the Earth, i. e. entrance of module 3 (or of wastes 1)
into the sphere of influence of the Earth occurs during a revolution of orbit 15 numbered
n > N
o, wherein N
o is determined on the basis of a time T
max during which the wastes must be kept in orbit 15 until they have a safe radiation
level. Assuming the initial position of the Earth (at 20) at the moment of departure
of module 3 from orbit 16 of the Earth is the initial position (Fig. 11), a current
position 31 of the Earth in its movement around the Sun 14 in orbit 16 with a radius
R can be characterized by a value of an angle at center Φ. Angular positions of the
Earth at points 32, 33, 34 of the closest position with respect to module 3 correspond
in Fig. 11 to revolutions of burial orbit 15 numbered n=2, N
o-2, N
o-1. In these positions distances D(n) from module 3 to the Earth should be at least
equal to r
o.
[0034] The relationship for a current distance L from the Earth to module 3 in the vicinity
of their closest position is graphically shown as functions of angle Φ in Fig. 12
in which curves L (Φ) are shown with dotted lines for revolutions of the orbit which
occur just before the entrance of module 3 into the sphere of influence of the Earth.
[0035] To make choice of the period P of complete revolution of module 3 in orbit 15, it
is necessary to use relationships of characteristics of radiation of the wastes versus
time "t". This characteristic may be in the form of radiation activity of the wastes
in terms of the number of events of spontaneous nuclear transformations in a given
waste isotope per unit of time or an exposure dose rate, etc. Typical relationships
for a characteristic J of waste radiation are given in Fig. 13 in which curves 35
and 36 correspond to different isotopes (e. g., Curium-245 and Americium-243).
[0036] It can be seen in Fig. 13 that a time T
max of a decrease in a radiation control characteristic for wastes consisting of two
isotopes having their masses in a predetermined ratio corresponds to an final admissible
level of residual radiation J
lim.
[0037] In a similar manner, a certain intermediate level of a radiation parameter J
m may be set up with a respective time

for keeping wastes in orbit 15 at which in case fragments of the radioactive wastes
fall down to the Earth an eventual local alteration of the radiation background would
not impair the ecological situation.
[0038] Given the data on an admissible time during which wastes have to be kept outside
the Earth, an admissible number of complete revolutions N
o in the burial orbit can be determined depending on the period P of one complete revolution
in this orbit (Fig. 14).
[0039] When appropriate calculations are made to find out the relationship of the number
of revolutions N in burial orbit 15 after which module 3 enters the sphere of influence
of the Earth versus period P, with the typical results which are shown in Fig. 12,
ranges of admissible values of the periods P of complete revolution in burial orbit
15 can be determined (not shaded in Fig. 14). A typical curve 37 is used to determine
power requirements for such periods (characteristic velocity W
s) to achieve the burial orbit in the embodiment of the method shown in Fig. 5.
[0040] The use of this method ensures, in comparison with the prior art:
- enhanced ecological safety for the Earth in burying wastes in space;
- increased probability of transfer of wastes to a burial orbit;
- lower power requirements for the implementation of the method;
These advantages are obtained owing to the following:
- a reduced number of orbit-to-orbit transits (active portions of operation of thrusters
of an insertion spacecraft imparting velocity impulses);
- use of burial orbits which are closer to the Earth orbit, with the wastes being kept
in orbit for a time after the lapse of which the wastes become safe in terms of their
activity and can fall down to the Earth or to another planet;
- possibility of providing additional power supplies at vehicles used to transfer radioactive
wastes into space so that if a sustainer fails in a larger number of cases, module
3 containing wastes could be put in a burial orbit in accordance with an emergency
schedule.
[0041] It should be emphasized that the implementation of the method with values of P close
to the period of complete revolution of the Earth around the Sun requires additional
steps which may be carried out as described below.
[0042] In the embodiment with superposition of heliocentric burial orbit 15 on heliocentric
orbit 16 of the Earth (Figs. 15 through 18) module 3 with radioactive wastes is transferred
to an intermediate elliptical orbit 38 which is conjugated with orbit 16 of the Earth
(with tangency) and which extends externally with respect to orbit 16 of the Earth
(Figs. 15, 16) or internally thereof (Figs. 17, 18) before inserting module 3 to burial
orbit 15. After at least one revolution of module 3 in orbit around the Sun 14, module
3 is transferred to burial orbit 15 which is superposed on orbit 16 of the Earth,
with the distance L
o (Figs. 16, 18) from the module to the Earth being equal to at least the radius r
o of the sphere of influence of the gravity field of the Earth. After being inserted
into orbit 15 and during the initial phase of the stay of the wastes in the orbit,
orbit 15 is corrected to increase accuracy of the above-mentioned parameters of the
orbit.
[0043] While Figs. 15, 17 show movement of module 3 in absolute coordinates with respect
to the Sun 14, Figs. 16, 18 show the movement in relative XY-coordinates with respect
to the Earth, with Y-axis being directed along a current radius-vector R of the Earth
from the Sun, and X-axis being perpendicular thereto and directed in the direction
of the Earth movement (along velocity W
o). The origin of XY-coordinates coincides with the center of the Earth, and for this
reason orbit 16 of the Earth is represented by a line 39 on X-axis, and burial orbit
40 in an ideal case also coincides with X-axis (module 3 is represented by a point
spaced at the distance L
o from the origin). A path of movement of module 3 in intermediate elliptical orbit
38 (Figs. 15, 17) in relative XY-coordinates is in the form of a cycloid 41 (Figs.
16, 18).
[0044] It should be noted that the transition from intermediate elliptical orbit 38 to burial
orbit 15 is carried out after one or more complete revolutions in orbit 38 by imparting
a deceleration velocity impulse V₁ (with the external tangency of orbits 16 and 38)
or an acceleration velocity impulse V₂ (with the internal tangency of orbits 16 and
38) by means of thrusters of spacecraft 4. In ideal cases, module 3 should be put
at the distance L
o along X-axis and have a zero velocity with respect to the Earth after imparting a
velocity impulse V₁ or V₂.
[0045] Eventual inaccuracies in imparting the impulses are compensated for by consecutive
corrections 28 during the initial phase of flight of module 3 in burial orbit so as
to ensure the secular motion (drift) of module 3 with respect to the Earth and entrance
into the sphere of influence of the gravity field of the Earth at least after the
lapse of a preset time during which the wastes are kept to achieve a safe radiation
level.
[0046] This embodiment of the method:
- reduces power requirements for the transfer of wastes to a burial orbit;
- enhances the monitoring of burial conditions by using remote control and contact equipment;
- ensures utilization of wastes in the long run (if desired) when their radiation hazard
will have become lower or when methods are available to ensure their safe processing
and use, with such utilization being carried out with lower power requirements;
- reduces the size of an area in space in which wastes are disposed of, with a respective
improvement of safety of interorbital spacecraft flights;
- improves ecological safety for the Earth.
[0047] In another embodiment of the method for burying wastes in space, a burial orbit with
a period P of complete revolution around the Sun close to the period of complete revolution
of the Earth in its orbit is formed as a halo-orbit.
[0048] In this embodiment of the method, before module 3 is inserted into burial orbit 15,
the module is transferred to intermediate elliptical orbit 38 (Fig. 19) conjugated
with orbit 16 of the Earth (e. g., with tangency). Module 3 is then inserted into
heliocentric burial orbit 15 which is in the form of a halo-orbit 42 in a system of
coordinates with respect to the Earth (Figs. 20 through 26) with the origin in orbit
16 of the Earth (this orbit is shown as line 39 on X-axis), any point of halo-orbit
42 being spaced from the Earth at a distance at least equal to the radius r
o of the sphere of influence of the gravity field thereof. Burial orbit 15 in this
case is conjugated with orbit 16 of the Earth with intersection. The transit from
intermediate orbit 38 to burial orbit 15 may be carried out by using various flight
patterns. Fig. 19 shows a diagram in which a velocity impulse V₃ is imparted after
one-half of revolution of module 3 in orbit 38 for transit to burial orbit 15, i.
e., to halo orbit 42. Halo orbit 42 (Fig. 20) is in the ecliptic plane and is spaced
from the sphere of influence of the gravity field of the Earth at a distance at least
equal to Δ
min>0.
[0049] In this embodiment orbit 38 is represented in XY-coordinates with respect to the
Earth in the form of a cycloid 43, and orbit 16 of the Earth is represented by line
39 on X-axis similarly to Figs. 16, 18.
[0050] Figs. 21, 22 show a similar diagram which differs from the preceding diagram by the
fact that a velocity impulse V₃ for a transit from an intermediate orbit in the form
of cycloid 43 to burial halo-orbit 42 causes the plane of halo-orbit 42 to turn at
a preset angle with respect to the ecliptic (the vector of the velocity impulse has
two components V
3x and V
3z at this transition), whereby halo-orbit 42 is at the shortest distance from the surface
of the sphere of influence of the gravity field of the Earth at a point E equal to
Δ
min>0. The Z-component in YZ-coordinates in Figs. 22, 24, 26 corresponds to the direction
of a vector of the angular momentum of the Earth orbit, and the Y-component corresponds
to the radius-vector of a current position of the Earth.
[0051] Figs. 23, 24 show a schematic of a flight in which a velocity impulse V₃ is imparted
to module 3 after one complete revolution in orbit 38. In diagrams of Figs. 25, 27
the velocity impulse V₃ is imparted after one incomplete revolution, whereby halo-orbit
42 extends around the sphere of influence of the gravity field of the Earth in the
relative system of coordinates.
[0052] It should be noted that Figs. 19-26 show the ideal cases of implementation of the
method. In practice a position of halo-orbit 42 should be chosen in such a manner
that, bearing in mind corrections during the secular motion with respect to the Earth,
its eventual contact with the sphere of influence of the Earth occurs at least after
the lapse of the preset time during which the wastes have to be kept in the burial
orbit. It is preferred that halo-orbit 42 be inclined from the ecliptic plane at a
certain angle which depends on parameters of the halo-orbit and the radius of the
sphere of influence of the planet and which ensures a gap (minimum distance) of Δ
min>0
[0053] The use of this embodiment of the method:
- enhances conditions for monitoring the burial and allows wastes to be utilized (if
necessary) with lower power requirements;
- reduces the size of the area in which the wastes are buried;
- enhances ecological safety for the Earth;
- improves safety of interorbital flights of spacecraft.
[0054] The method according to the invention involves more sophisticated embodiments shown
in Figs. 27-34 which are implemented with conjugation of intermediate orbit 38 with
orbit 26 of another chosen planet. After module 3 is inserted into intermediate orbit
38 (Figs. 27, 32) it moves along this orbit into the sphere of influence of another
planet (e. g., the Jupiter) by means of several corrections (correcting velocity impulses).
Module 3 enters the field of gravity of such planet at the moment when the planet
is at a point 44 and leaves it when the planet in its orbital movement reaches a point
45. A perturbative manoeuvre is carried out within the sphere of influence of the
gravity field of this planet so that module 3 goes through the sphere of influence
of this planet at points 46, 47 (Fig. 28) and moves in an orbit 48 to transit to a
heliocentric burial orbit 49 simultaneously with a change in the radius of the perihelion,
eccentricity "e", and angle "i" of inclination with respect to the ecliptic plane
in comparison with intermediate orbit 38. During the manoeuvre, additional velocity
impulses may be imparted to module 3. The desired parameters of orbit 49 are formed
within the sphere of influence of the planet. Those are the position of an entry point
46 (Figs. 28, 30, 33) and a sighting range "d" ("d" is the distance from the line
of a vector U₁ of relative velocity of entry of module 3 into the sphere of influence
to the center of the planet). The implementation of this manoeuvre is geometrically
explained in Figs. 28 through 31 and Figs. 33, 34 in which Y-axis is directed along
a radius-vector R
p of the planet position with respect to the Sun 14, X-axis extends in the plane of
the planet orbit in the direction of its orbital velocity W
p perpendicularly with respect to the radius-vector R
p, and Z-axis extends perpendicularly with respect to the plane of the orbit of the
chosen planet in the direction of the vector of the angular momentum of the orbit.
As a result of the relative velocity U₂ being turned at an angle ψ with respect to
the vector U₁ at leaving the sphere of influence of the gravity field of this planet,
the vector of absolute velocity of module 3 is changed. Velocity vector V₄₆ at entry
point 46 changes for velocity vector V₄₇ at exit point 47. The radius-vector R
p is also changed in accordance with position of points 44 and 45 to change the vector
of position of module 3 with respect to the Sun. The value of angle ψ of turn of the
velocity vector depends on sighting range "d" and value of velocity V₄₆: with

angle ψ=0 and with d→0 angle ψ→180°. In case velocity impulses are not imparted
to module 3 in intermediate orbit 38 the values of U₁ and U₂ are identical.
[0055] Therefore, by implementing appropriate parameters of orbit 38 (vectors V₄₆ and V₄₇)
and sighting range "d" and by guiding module 3 to appropriate entry point 46 of the
sphere of influence of a chosen planet, the module can be transferred from intermediate
orbit 38 either to elliptical heliocentric burial orbit 49 (Fig. 27) with the perihelion
spaced from the Sun 14 at a distance at which the effect of solar radiation turns
the radioactive wastes to plasma (at a point 50) or to a parabolic heliocentric burial
orbit 51 (with e= 1) or a hyperbolic heliocentric burial orbit (with e> 1) 51 (Fig.
32) with the exit of module 3 during its flight to the stellar space outside the Solar
system.
[0056] This embodiment is characterized by the fact that it allows wastes to be completely
annihilated (during the flights toward the Sun) or to be irreversibly put out of the
Solar system with their natural deactivation during the flight which will last for
many thousands of years through the stellar space. It should be noted that in implementing
the flight toward the Sun, the position of the perihelion of orbit 49 is chosen to
be such as to ensure the destruction of modulus 3 (melting and evaporation) and transformation
of the radioactive wastes into plasma without allowing them to get into the lower
strata of the heliosphere (atmosphere of the Sun) and to the surface of the Sun. The
specific value of the relative perihelion of orbit 49 depends on the structural material
of the module, its design, the material of the container carrying the wastes, composition
and configuration of fragments of the wastes and a moderator filler surrounding the
wastes in the container.
[0057] This embodiment of the method allows high safety of disposal to be ensured because
in case the required departure velocity V
o has not been achieved, or if corrections 28 cannot be carried out for guiding module
3 into the sphere of influence of another chosen planet, a redundancy flight schedule
along an intermediate burial orbit can be implemented, the burial orbit being formed
by means of auxiliary thrusters of spacecraft 4 and a leftover fuel stock (with the
use of a simplified control logic).
[0058] In comparison with a method for burying radioactive wastes making use of a direct
guidance of module 3 to the Sun, which calls for an increment of velocity of the module
at the departure from a near-Earth orbit at 24 m/s, in this embodiment of the method
it only takes a velocity of 8 m/s so that this embodiment is much more efficient as
regards power requirements. The comparison of the method involving the direct guidance
of module 3 to a path of flight towards the space outside the Solar system and the
method according to the invention also shows that there is a gain in terms of power
requirements because the total necessary increment of velocity W
s of module 3 can be lowered by about 2 km/s.
Industrial Applicability
[0059] The method according to the invention may be implemented by using both non-reusable
and reusable space equipment and is designed for evacuation from the Earth and for
burial in space of radioactive wastes of various origin.