Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

714
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
714
Kinematic Equations - II01:17

Kinematic Equations - II

12.7K
The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
12.7K
Kinematic Equations - III01:18

Kinematic Equations - III

10.1K
The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
10.1K
Gyroscope: Precession01:24

Gyroscope: Precession

5.3K
Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
5.3K
Kinematic Equations - I01:26

Kinematic Equations - I

14.0K
When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
14.0K
Circular Orbits and Critical Velocity for Satellites01:16

Circular Orbits and Critical Velocity for Satellites

5.4K
The Moon orbits around the Earth. In turn, the Earth (and other planets) orbit the Sun. The space directly above our atmosphere is filled with artificial satellites in orbit. One can examine the circular orbit, the simplest kind of orbit, to understand the relationship between the speed and the period of planets and satellites with respect to their positions and the bodies that they orbit.
Nicolaus Copernicus (1473-1543) first suggested that the Earth and all other planets orbit the Sun in...
5.4K

You might also read

Related Articles

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

Sort by
Same author

[Clinical characteristics of 15 cases of microscopic polyangiitis associated with alveolar hemorrhage].

Zhonghua nei ke za zhi·2015
Same author

Identification of low Ca(2+) stress-induced embryo apoptosis response genes in Arachis hypogaea by SSH-associated library lift (SSHaLL).

Plant biotechnology journal·2015
Same author

A simple score for predicting renal artery stenosis in patients with ischemic heart disease.

International journal of clinical and experimental medicine·2015
Same author

HLA-DPB1 variant rs3117242 is associated with anti-neutrophil cytoplasmic antibody-associated vasculitides in a Han Chinese population.

International journal of rheumatic diseases·2015
Same author

Identification of jasmonic acid-associated microRNAs and characterization of the regulatory roles of the miR319/TCP4 module under root-knot nematode stress in tomato.

Journal of experimental botany·2015
Same author

Validation of the simplified Chinese (Mainland) version of the Disability of the Arm, Shoulder, and Hand questionnaire (DASH-CHNPLAGH).

Journal of orthopaedic surgery and research·2015

Related Experiment Video

Updated: Jan 6, 2026

Measurement of Spatial Stability in Precision Grip
09:36

Measurement of Spatial Stability in Precision Grip

Published on: June 4, 2020

3.5K

Improving the GRACE Kinematic Precise Orbit Determination Through Modified Clock Estimating.

Xingyu Zhou1, Weiping Jiang2, Hua Chen3

  • 1GNSS Research Center, Wuhan University, Wuhan 430079, China. zhouxygps@whu.edu.cn.

Sensors (Basel, Switzerland)
|October 11, 2019
PubMed
Summary

This study enhances Gravity Recovery and Climate Experiment (GRACE) satellite orbit accuracy using a new GPS kinematic orbit determination method. The technique improves precision, especially during weak GPS satellite geometry, benefiting Earth science research.

Keywords:
GPSGRACEPPP-ARclock estimatingkinematic precise orbit determination

More Related Videos

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

9.0K
A Protocol for Real-time 3D Single Particle Tracking
10:16

A Protocol for Real-time 3D Single Particle Tracking

Published on: January 3, 2018

15.3K

Related Experiment Videos

Last Updated: Jan 6, 2026

Measurement of Spatial Stability in Precision Grip
09:36

Measurement of Spatial Stability in Precision Grip

Published on: June 4, 2020

3.5K
Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

9.0K
A Protocol for Real-time 3D Single Particle Tracking
10:16

A Protocol for Real-time 3D Single Particle Tracking

Published on: January 3, 2018

15.3K

Area of Science:

  • Geodesy
  • Satellite Dynamics
  • Earth Science

Background:

  • Precise kinematic orbits for the Gravity Recovery and Climate Experiment (GRACE) satellites are crucial for Earth's gravitational field studies.
  • Orbit quality is significantly influenced by the geometric configuration of observed Global Positioning System (GPS) satellites.

Purpose of the Study:

  • To develop an improved kinematic orbit determination method for GRACE satellites.
  • To enhance orbit quality, particularly under conditions of weak GPS satellite geometry.

Main Methods:

  • A novel kinematic orbit determination approach was proposed, incorporating a random walk clock constraint between adjacent epochs.
  • The constraint's parameterization was based on the stability of the on-board GPS receiver clocks.
  • Experimental validation utilized one month of GRACE data.

Main Results:

  • The proposed method improved the root mean square (RMS) by 20-40% in the radial component and 5-20% in the along and cross-track components.
  • For epochs with Position Dilution of Precision (PDOP) > 4, orbit improvements reached 50-70% radially and 17-50% in other components.
  • Allan deviation of clock estimates closely matched the GRACE on-board oscillator's stability.

Conclusions:

  • The developed method effectively enhances GRACE satellite kinematic orbit determination.
  • The approach provides significant improvements in orbit accuracy, especially under challenging GPS geometry conditions.
  • The findings validate the method's capability to improve the quality of GRACE mission data for scientific applications.