One Kind of Orbit of Collision Related with Lagrangian Libration Points

1. One Kind of Orbit of Collision Related with Lagrangian Libration Points Rosaev A.E.11 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 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference

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

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

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

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

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

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

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

11. n Geocentric orbit’s characteristic Initial/final heliocentric orbit a e i a e i 1 Symmetric, I=90, q=386000, e=0.7, w=0 1.128 0.085 0.584 0.908 0.0685 0.713 2 Asymmetric, q=386000, I=-91 (+89), e=0.7, w=0 1.088 0.057 1.197 0.926 0.053 0.907 3 14.69 Asymmetric, q=20000, I=-91(+89), e=0.986, w=/4 collision 0.595 0.745 Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference

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

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

14. CONCLUSIONS 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 L1 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. Rosaev A.E. One Kind of Orbit of Collision Related with Lagrangian Libration Points LPO conference