INTEGRABLE SYSTEMS IN CELESTIAL MECHANICS

Diarmuid Ó Mathúna

Calculation and Exhibition of Orbits

Vincent G. Hart

Mathematics, School of Physical Sciences, The University of Queensland

St. Lucia, 4072, Queensland, Australia

and

Seán Murray

School of Theoretical Physics, Dublin Institute for Advanced Studies

10, Burlington Road, Dublin 4, Ireland

Maple Worksheets for Orbit Classes

In the Maple program codes, there are four items whose symbols differ from the corresponding symbols in the text, namely:

1. what appears as 'small beta' in the text is represented by 'b' in the code;

2. what appears as 'small lamda' in the text is represented by 'l' in the code.

3. what appears as 'small gamma' in the text is represented by 'g' in the code

4. what appears as 'small delta' in the text is represented by 'd' in the code

Quantities involving such symbols as 'd', 'f' and 'k' are defined as appropriate to the orbit class. The symbol 'P' in the codes represents 'R/a' ,consistent with the text.

Further clarifying comments are to be found in the code for orbit class B2 – see below

There are three input parameters, namely, b, e and l (the symbol 'e' corresponds to 'e' in the text).

Orbits: Class A

A1: access code here

A2: access code here

A3: access code here

A4: access code here

Orbits: Class B

B1: access code here

B2: access code here