I came across a fairly simple General Relativity related formula the(adsbygoogle = window.adsbygoogle || []).push({});

other day that calculates the precession rate for the binary star PSR

B1913+16.

I have seen some pretty complicated methods for PSR 1913+16 before,

but not this one, so I thought I would bring it up to anyone else that

it might be new for.

The following mass, apoapsis and periapsis values were gathered from:

http://www.johnstonsarchive.net/relativity/binpulsar.html

Average mass m = 1.414*1.98892e30 = 281233288e22 kg

Apoapsis distance a = 1576800e3 m

Periapsis distance p = 373300e3 m

Average radius r = (a + p) / 2 = 975050e3 m

Eccentricity e = 1 - p/r = 0.617148

Average velocity v = sqrt(Gm/r) = 438713 m/s

GR precession in orbits per orbit n = 3*G*m/(r*c^2) / (1 - e^2) = 1.03767e-005

Average circumference C = 2*pi*r = 6126419834 m

Average combined orbit time t = 2 * C/v = 27929.1 s

Precession in degrees per year:

del = n*360*(365/(t/(24*60*60)))

del = 4.21806

If you have any citations for this method, I would greatly appreciate any information that you could pass my way. Thank you.

- Shawn

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# GR Approximation for PSR 1913+16

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Approximation 1913+16 |
---|

B Uniform-gravitational time dilation -- exact or approximate |

**Physics Forums | Science Articles, Homework Help, Discussion**