Relativistic mass moment

Mass moment is an additive physical quantity useful for deriving the Lorentz transformation of angular momentum. For isolated systems, it is conserved in time, but unlike angular momentum, the vector of mass moment is a polar (“ordinary”) vector and therefore invariant under inversion.

Links:

  1. Wikipedia, end of paragraph.

mass_moment

Vector of mass moment.

Symbol:

N

Latex:

\({\vec N}\)

Dimension:

length*mass

rest_mass

rest_mass of the body.

Symbol:

m_0

Latex:

\(m_{0}\)

Dimension:

mass

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

lorentz_factor

lorentz_factor.

Symbol:

gamma

Latex:

\(\gamma\)

Dimension:

dimensionless

position_vector

Vector of the body’s position. See distance_to_origin.

Symbol:

r

Latex:

\({\vec r}\)

Dimension:

length

velocity

Vector of the body’s velocity. See speed.

Symbol:

v

Latex:

\({\vec v}\)

Dimension:

velocity

law

N = m_0 * gamma^2 * (r - v * t)

Latex:
\[{\vec N} = m_{0} \gamma^{2} \left({\vec r} - {\vec v} t\right)\]