I often stumbled across the variables for angular momentum L and axial angular momentum Lz, which would be no problem if working in cartesian coordinates, then it would be Lz = px y - py x. Unfortunately I have no idea what to make of an Lz in spherical coordinates:(adsbygoogle = window.adsbygoogle || []).push({});

For example, in equations of motion given in r, θ and φ (radius, latitude and longitude) I have pr, pθ and pφ for the momentum components. But what do I make of an Lz then? Is this the vertical (radial) momentum, or is it the horizontal momentum, or the momentum only in the θ or φ direction? Why does an Lz appear when everything else is given in terms of r, θ and φ? Is it just pθ r, or something else?

And E for the conserved energy is m/2 v² in classical mechanics and mc²γ-mc² or just mγ in relativity?

If somebody more experienced could help me I will give a thumb up!

**Physics Forums - The Fusion of Science and Community**

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

# B What exactly is L, Lz and E in orbital mechanics?

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - exactly orbital mechanics | Date |
---|---|

A Calculating the Altitude of a Nominal Burst | Feb 19, 2018 |

B How exactly do SMBHs in the center of galaxies form | Feb 8, 2016 |

How exactly is information for CO transitions found? | Jan 14, 2016 |

How do we know galaxies are exactly where we see them? | Aug 14, 2015 |

What are peoples thoughts on the fact that at the exact limit of our universe. | Nov 5, 2014 |

**Physics Forums - The Fusion of Science and Community**