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One Kind of Orbit of Collision Related with Lagrangian Libration Points Rosaev A.E. 1 1 FGUP NPC “NEDRA” Yaroslavl, Russia,

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Presentation on theme: "One Kind of Orbit of Collision Related with Lagrangian Libration Points Rosaev A.E. 1 1 FGUP NPC “NEDRA” Yaroslavl, Russia,"— Presentation transcript:

1 One Kind of Orbit of Collision Related with Lagrangian Libration Points Rosaev A.E. 1 1 FGUP NPC “NEDRA” Yaroslavl, Russia, E-mail: rosaev@nedra.yar.ru

2 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference

3 JACOBY INTEGRAL

4 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference JACOBY INTEGRAL EXPANSION

5 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference AREA OF MOTION

6 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference NEAR EARTH MINOR PLANETS CLOSE TO LIBRATION POINTS

7 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference ON CAPTURE POSSIBILITY The geocentric energy (H) dependence from heliocentric semimajor axis

8 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference The condition on breakup velocity:

9 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference

10 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference The dependence of number of iterations before collision from semimajor axis of circular orbits

11 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference n Geocentric orbit’s characteristic Initial/final heliocentric orbit aeiaei 1 Symmetric, I=  90, q=386000, e=0.7, w=0 1.1280.0850.5840.9080.06850.713 2 Asymmetric, q=386000, I=-91 (+89), e=0.7, w=0 1.0880.0571.1970.9260.0530.907 3 14.69 Asymmetric, q=20000, I=-91(+89), e=0.986, w=  /4 collision 0.5950.745

12 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference The orbit No 3 evolution

13 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference The age distribution of Earth’s impact craters

14 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conferenceCONCLUSIONS The problem of description transition from heliocentric to the satellite orbit in vicinities of the big planet naturally appears at the study of close approaching the comets and asteroids with large planets and when considering possible scenarios of origin of some natural satellites (external satellites of Jupiter, Phobos and Deimos and others.). The numeric investigation for high inclined satellite orbit was developed in this work.. Is shown, that the splitting at close encounter can make temporary capture permanent. By taking into account this fact, the construction of special kind of orbit of collision was possible. Initially, the capture from quasi-coorbital orbit, related with libration point L 1 to a Earth’s satellite orbit with high inclination take place. After that, fast increasing of geocentric eccentricity and collision with the Earth surface was encountered. On our opinion, some long craters chains may have impactor on the satellite orbit as a source. As an example, we point attention on the two of known craters chains - near 40 mln. years ago and at KT-boundary, which may have a satellite nature [6]. The prolongation of these investigations is required to describe all features of motion in the problem.


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