Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System

Details Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System

Jan 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012hell.conf...24b&link_type=abstract

10th Hellenic Astronomical Conference, Proceedings of the conference held at Ioannina, Greece, 5-8 September 2011. Edited by Io

Astronomy and Astrophysics

Astronomy

Scientific paper

We study, numerically, families of simple non-symmetric periodic orbits of the restricted four-body problem where the three primary bodies lie at the apices of an equilateral triangle while a fourth massless body is moving under the Newtonian gravitational attraction of the primaries. More precisely, the primary bodies Sun, Jupiter and a Trojan Asteroid are set in the stable Lagrangian equilateral triangle configuration and as a massless fourth body we consider a spacecraft. The problem admits eight non-collinear equilibrium points. Four of them are close to Asteroid, two are stable and two are unstable. The network of the families of the simple periodic solutions using their characteristic curves in the (x, C) plane is presented. The linear stability of each periodic solution is also studied. Special generating planar horizontal and vertical critical periodic orbits of each family are calculated. We found a large number of various types of orbits and two families which consist of stable (horizontally and vertically) retrograde non-symmetric periodic orbits around Jupiter (the first family) and the Trojan Asteroid (the second one) with obvious practical interest.

Affiliated with

Also associated with

No associations

Rating

Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Families of Periodic Orbits in the Sun - Jupiter - Trojan Asteroid System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-911022