| |
 |
| Paper: |
Distance Between Two Arbitrary Unperturbed Orbits |
| Volume: |
316, Order and Chaos in Stellar and Planetary Systems |
| Page: |
110 |
| Authors: |
Kholshevnikov, K.V.; Baluyev, R.V. |
| Abstract: |
The problem of finding critical points of the distance function between two keplerian elliptic orbits (hence finding distance between them in a sense of set theory) is reduced to determination of all real roots of a trigonometric polynomial of degree eight (Kholshevhikov & Vassiliev 1999). A polynomial of smaller degree with such properties does not exist in non-degenerate cases. Here we extend the results to all 9 cases of conic section ordered pairs. Note, that ellipse—hyperbola and hyperbola—ellipse cases are not equivalent as we exclude the variable marking the position on the second curve. |
|
|
|
|
|
