Editing Spacecraft flight dynamics (section)

===True anomaly as a function of time===
It can be shown that the angular momentum equation given above also relates the rate of change in true anomaly to ''r'', ''v'', and ''φ'', thus the true anomaly can be found as a function of time since periapsis passage by integration:{{sfnp| Bate| Mueller| White |1971| pp=31-32}}
<math display="block">\nu = r_p v_p \int_{t_p}^t \frac 1 {r^2} \, dt</math>

Conversely, the time required to reach a given anomaly is:
<math display="block">t = \frac 1 {r_p v_p} \int_0^\nu r^2 \, d\nu</math>