Astro question to math/astrophysics readers of this group

[Guest guest]

Dear Members,

 

I have an astro / physics related problem for which i did like to

come up with a solution / formula.

 

Here's the problem:

 

There are three moving points, they move around a single point, the

single point being the centre of the circle. The radius or

circumference of the circle is irrelevant here.

The points have their locations, and they are in degrees, they have

different speeds of movement, so at different points in time they

make angles between the centre and the other two points. Speed of the

3 points is in degerees per day (eg 1.5 degrees per day), the unit is

not relevant but helps to know.

 

Lets name the points P1, P2, P3 and centre is C1. P1 makes and angle

Theta1 with P2, and P2 makes an angle Theta2 with P3. Speeds remain

constand, positions remain constant in value, and the angles Theta1

and Theta2 are absolute values.

 

Now the values of Theta1 and Theta2 keep changing with time as the

speeds of P1..P3 are variable.

 

Im looking for an equation, wherein if i feed the known values i get

the resulting number of days. For eg.

 

I know the values of the following variables

P1, P2, P3 and also their speeds S1, S2, S3. Also Theta1 and Theta2

are known.

P1..P3 = are in degrees

S1..S3 = are in degrees per day

Theta1 & Theta2 are in degrees

 

I did like to come across a formula of this nature:

 

Result =

(SomeFunc(P1, P2, P3) [some operation] SomeFunc(S1,S2,S3) [some

operation] SomeFunc(Theta1, Theta2)

 

IF someone can assist here, it would be of great help!

 

Regards

Mani