Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Gravitation Between Spherically Symmetric Masses

Gravitation Between Spherically Symmetric Masses

The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.

Gravity between Spherical Bodies

Gravity between Spherical Bodies

Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...

Newton's Law of Gravitational Attraction

Newton's Law of Gravitational Attraction

Sir Isaac Newton established the universality of the law of gravitational attraction based on empirical evidence and inductive reasoning. He published his work in Philosophiae Naturalis Principia Mathematica ("the Principia") on July 5, 1687.
Newton's law of gravitational attraction is a fundamental law of physics that governs the attraction between objects. It states that the magnitude of the gravitational force between any two objects is proportional to their masses and inversely proportional...

Reduced Mass Coordinates: Isolated Two-body Problem

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

The Principle of Superposition and the Gravitational Field

The Principle of Superposition and the Gravitational Field

The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a point object is the vector sum of the gravitational forces on it due to various objects. The principle helps calculate the force by listing the individual forces and then vectorially summing them up. However, it should be noted that the principle of superposition is not always apparent. In the presence of a second force, the first force could...

Newton's Law of Gravitation

Newton's Law of Gravitation

Our everyday observation tells us that all objects close to the Earth naturally tend to fall to the ground. Early philosophers assumed that this downward force was unique to Earth. By the 16th century, Nicolaus Copernicus (1473-1543) put forward the heliocentric theory, which suggested that Earth and other planets orbited the sun, while the Moon orbited the Earth. However, it was Isaac Newton (1642-1727) who linked these two motions together in the 17th century. He reasoned that the force of...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Distance to junction and small saphenous vein treatment drive risk of ≥grade 2 endothermal heat-induced thrombosis in multicenter practice.

Journal of vascular surgery. Venous and lymphatic disorders·2026

Same author

Transumbilical Hidden-Scar High Anterior Resection for Sigmoid Colon Cancer Using GelPOINT<sup>®</sup> Through an Umbilical Zigzag Skin Incision.

Journal of laparoendoscopic & advanced surgical techniques. Part B, Videoscopy·2020

Same author

New MT-ND6 and NDUFA1 mutations in mitochondrial respiratory chain disorders.

Annals of clinical and translational neurology·2014

Same author

Possible daily and seasonal variations in quantum interference induced by Chern-Simons gravity.

Physical review letters·2013

Same author

Mitochondrial DNA mutations regulate metastasis of human breast cancer cells.

PloS one·2011

Same author

[A very elderly case of recurrent gastric cancer with peritoneal dissemination effectively treated by combination chemotherapy of docetaxel (DOC) and S-1].

Gan to kagaku ryoho. Cancer & chemotherapy·2010

Search research articles

Related Experiment Video

Updated: Jun 21, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Gravitational wave forms for two- and three-body gravitating systems.

Yuji Torigoe¹, Keisuke Hattori, Hideki Asada

¹Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan.

Physical Review Letters

|August 8, 2009

Summary

Different particle systems create unique gravitational waves, but some wave forms can appear similar. A new chirp mass for triple systems helps distinguish these sources, suggesting higher multipoles are key for classification.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jun 21, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Astrophysics
Gravitational Wave Astronomy
Dynamical Systems

Background:

Self-gravitating particle systems exhibit diverse periodic motions.
Gravitational wave (GW) signals from these systems can exhibit similarities.
Distinguishing between different astrophysical sources of GWs is crucial for interpretation.

Purpose of the Study:

To investigate the potential for similar gravitational wave (GW) shapes from systems with different numbers of self-gravitating particles.
To develop a method for tracking and differentiating these similar GW waveforms.
To explore the utility of higher-order multipoles in classifying GW sources.

Main Methods:

Analysis of gravitational wave generation from self-gravitating particles in periodic motion.
Definition of a novel chirp mass applicable to triple systems.
Comparison of quadrupole waveforms from binary and three-body systems.
Investigation of higher-order multipole waveforms for source discrimination.

Main Results:

Quadrupole gravitational waveforms from binary and three-body systems can be accidentally similar, hindering source identification.
A new chirp mass for triple systems is proposed to track the evolution of similar waveforms.
Higher-order multipole waveforms (lth multipoles) show potential for distinguishing between different source systems.

Conclusions:

The similarity of quadrupole waveforms necessitates alternative methods for source classification.
The proposed chirp mass offers a tool for analyzing triple system evolution.
Higher multipole moments are likely essential for accurately classifying gravitational wave sources, with a conjecture that l <= N for N particles.