# Using dimensional analysis to create dimensionless equation

1. May 1, 2017

### astrofunk21

1. The problem statement, all variables and given/known data
I am tasked with solving and creating a dimensionless equation from a differential equation given.

2. Relevant equations
This is the given equation:

3. The attempt at a solution
When doing the dimensional analysis I see that we are left with units of [m-3][kg1][s-2].

These units are actually the units of the inverse of the gravitational constant G. So to make this equation dimensionless would I just multiple both sides by G? So we get this dimensionless equation (but not really since the left side isn't exactly dimensionless):

Would appreciate help on where to go with this! Thanks in advance

2. May 1, 2017

### Orodruin

Staff Emeritus
Please give the problem exactly as stated.

3. May 1, 2017

### astrofunk21

Question: Solve and make a dimensional analysis in order to ensure the equation is really dimensionless.

4. May 1, 2017

### Orodruin

Staff Emeritus
That is not the entire problem. It sounds like the very end of the problem text.

5. May 2, 2017

### Staff: Mentor

What is c in the equation?