In mechanics, a constant of motion is a physical quantity conserved throughout the motion, imposing in effect a constraint on the motion. However, it is...
10 KB (1,548 words) - 05:46, 25 June 2025
is not in motion relative to a given frame of reference, it is said to be at rest, motionless, immobile, stationary, or to have a constant or time-invariant...
31 KB (3,791 words) - 12:33, 14 July 2025
Poisson bracket (section Constants of motion)
MJM^{T}=J} . An integrable system will have constants of motion in addition to the energy. Such constants of motion will commute with the Hamiltonian under...
24 KB (4,039 words) - 06:00, 6 July 2025
Euler's three-body problem (redirect from Problem of two centers of gravitation)
problem. The problem of two fixed centers conserves energy; in other words, the total energy E {\displaystyle E} is a constant of motion. The potential energy...
21 KB (3,167 words) - 23:43, 26 June 2025
circular motion is movement of an object along the circumference of a circle or rotation along a circular arc. It can be uniform, with a constant rate of rotation...
33 KB (4,232 words) - 09:49, 12 July 2025
Motion camouflage is camouflage which provides a degree of concealment for a moving object, given that motion makes objects easy to detect however well...
20 KB (2,029 words) - 15:43, 8 July 2025
derived from the positions of objects and time. In circumstances of constant acceleration, these simpler equations of motion are usually referred to as...
55 KB (7,509 words) - 00:17, 7 June 2025
Systematic Chaos (redirect from Constant Motion)
attracted to the phrase "Random thoughts of neat disorder" which appears in "Constant Motion". Opposites of the word "chaos" were discussed, resulting...
40 KB (4,090 words) - 18:11, 25 May 2025
two bodies interacting by Newtonian gravity, the LRL vector is a constant of motion, meaning that it is the same no matter where it is calculated on the...
79 KB (10,218 words) - 19:44, 20 May 2025
body remains at rest, or in motion at a constant speed in a straight line, unless it is acted upon by a force. At any instant of time, the net force on a...
129 KB (16,223 words) - 03:05, 7 July 2025
motion, the equation of motion, which is a second-order linear ordinary differential equation with constant coefficients, can be obtained by means of...
15 KB (2,237 words) - 01:46, 27 June 2025
momenta are no longer constants of motion, but the sum of the two angular momenta usually still is. Angular momentum coupling in atoms is of importance in atomic...
17 KB (2,234 words) - 20:44, 9 June 2025
Acceleration (redirect from Constant acceleration)
circular motion—such as a satellite orbiting the Earth—is accelerating due to the change of direction of motion, although its speed may be constant. In this...
23 KB (2,843 words) - 08:36, 24 April 2025
The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable...
13 KB (1,633 words) - 23:06, 7 January 2025
Hamilton–Jacobi equation (redirect from Hamilton-Jacobi equations of motion)
to axial symmetry of the solenoidal magnetic field. Mathematics portal Physics portal Canonical transformation Constant of motion Hamiltonian vector...
44 KB (8,210 words) - 22:52, 28 May 2025
Siméon Denis Poisson (category Members of the Chamber of Peers of the July Monarchy)
bracket of any two constants of motion is also a constant of motion. Poisson had introduced his brackets while attempting to integrate the equations of motion...
35 KB (4,498 words) - 02:20, 26 May 2025
Kerr metric (section Mass of rotational energy)
(independent) constants of motion for degrees of freedom, the equations of motion for a test particle in Kerr spacetime are integrable. Using these constants of motion...
53 KB (6,963 words) - 12:00, 16 July 2025
Quantum number (category Dimensionless numbers of physics)
Hamiltonian of the system, the quantum number is said to be "good", and acts as a constant of motion in the quantum dynamics. In the era of the old quantum...
30 KB (3,266 words) - 03:49, 7 June 2025
its helicity (which may be thought of as "apparent chirality") will be reversed. Helicity is a constant of motion, but it is not Lorentz invariant. Chirality...
28 KB (3,792 words) - 23:46, 22 June 2025
contrasted to chirality, which is Lorentz invariant, but is not a constant of motion for massive particles.[citation needed] For massless particles, the...
7 KB (806 words) - 20:05, 18 June 2025
For Kepler orbits the eccentricity vector is a constant of motion. Its main use is in the analysis of almost circular orbits, as perturbing (non-Keplerian)...
2 KB (265 words) - 20:52, 27 April 2024
The Planck constant, or Planck's constant, denoted by h {\displaystyle h} , is a fundamental physical constant of foundational importance in quantum mechanics:...
45 KB (4,779 words) - 12:45, 30 June 2025
Hypothesis (redirect from List of hypotheses)
ISBN 978-0-393-06204-5, p.112 lists the conservation of energy as an example of accounting a constant of motion. Hypothesized by Sadi Carnot, truth demonstrated...
21 KB (2,659 words) - 19:43, 8 July 2025
velocity and the constant acceleration due to gravity. The motion can be decomposed into horizontal and vertical components: the horizontal motion occurs at...
36 KB (5,766 words) - 12:17, 8 July 2025
cyclic coordinate, which implies that its conjugate momentum is a constant of motion. The conical pendulum refers to the special solutions where θ ˙ =...
9 KB (1,775 words) - 14:28, 17 May 2025
orbital mechanics, mean motion (represented by n) is the angular speed required for a body to complete one orbit, assuming constant speed in a circular orbit...
13 KB (1,900 words) - 01:47, 27 February 2023
The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative thermal energy of particles in a gas with the thermodynamic...
26 KB (2,946 words) - 19:42, 11 July 2025
The Carter constant is a conserved quantity for motion around black holes in the general relativistic formulation of gravity. Its SI base units are kg2⋅m4⋅s−2...
11 KB (2,666 words) - 18:02, 21 June 2025
Majorana equation (category Eponymous equations of physics)
Lorentz invariant, and also a constant of motion; whereas chirality is a Lorentz invariant, but is not a constant of motion for massive fields. Electrically...
47 KB (8,807 words) - 17:38, 12 May 2025
Jakob Hermann (category Members of the French Academy of Sciences)
have been the first to show that the Laplace–Runge–Lenz vector is a constant of motion for particles acted upon by an inverse-square central force. Hermann...
4 KB (438 words) - 01:41, 25 April 2025