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Newton’s first law is usually considered to be a statement about reference frames. It provides a method for identifying a special type of reference frame: the inertial reference frame. In principle, we can make the net force on a body zero. If its velocity relative to a given frame is constant, then that frame is said to be inertial. So, by definition, an inertial reference frame is a reference frame where Newton's first law holds valid. Newton's first law applies to objects with...
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A reference frame accelerating or decelerating relative to an inertial frame is a non-inertial frame. To help understand this, consider what taking off in an airplane, turning a corner in a car, riding a merry-go-round, and the circular motion of a tropical cyclone all have in common. All these systems are accelerating, decelerating, or rotating relative to the Earth; hence, they all are non-inertial frames. All these systems exhibit inertial forces, which merely seem to arise from motion,...
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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Planar Rigid-Body Motion01:22

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Related Experiment Video

Updated: Dec 18, 2025

Design and Use of an Apparatus for Presenting Graspable Objects in 3D Workspace
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Flexible coding of object motion in multiple reference frames by parietal cortex neurons.

Ryo Sasaki1,2, Akiyuki Anzai3, Dora E Angelaki4

  • 1Department of Brain and Cognitive Sciences, Center for Visual Science, University of Rochester, Rochester, NY, USA. sasaki.ryo.3r@kyoto-u.ac.jp.

Nature Neuroscience
|June 17, 2020
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Summary
This summary is machine-generated.

Neural representations of object motion adapt to task demands, switching between head- and world-centered reference frames. This neural flexibility in spatial coding is crucial for accurate behavioral performance during self-motion.

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Area of Science:

  • Neuroscience
  • Cognitive Neuroscience
  • Computational Neuroscience

Background:

  • Neurons encode spatial information using various reference frames.
  • The adaptability of these neural reference frames to changing task demands is not fully understood.
  • Understanding reference frame flexibility is key to explaining behavioral performance.

Purpose of the Study:

  • To investigate how neural representations of object direction change with task demands during self-motion.
  • To determine if neural reference frame shifts can explain behavioral choices.
  • To differentiate reference frame computations between brain areas.

Main Methods:

  • Monkeys reported object direction in either head- or world-centered reference frames across trials.
  • Neural activity was recorded in the ventral intraparietal area (VIP) and the lateral medial superior temporal area (LMST).
  • Self-motion cues were manipulated to assess their influence on neural representations.

Main Results:

  • Ventral intraparietal area (VIP) neural populations dynamically represented object direction in the task-relevant reference frame (head or world).
  • Lateral medial superior temporal area (LMST) neural populations predominantly encoded object motion in a head-centered reference frame.
  • Neural responses were modulated by the specific reference frame required by the task.

Conclusions:

  • Neural representations of object motion are not fixed but are flexible and adapt to task requirements.
  • Different brain areas, such as VIP and LMST, exhibit distinct strategies for representing spatial information.
  • This study provides evidence for a neural basis of reference frame selection in sensorimotor transformations.