Reference Frames & Inertial Motion

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Abstractions about coordinate conventions, inertial and apparent forces, free fall, spatial updating, and position estimation through triangulation.

7 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Centripetal Force — The inward component of the net force required to bend a body's velocity along a curved path, equal in uniform circular motion to \(mv^2/r=mr\omega^2\) and supplied by ordinary interactions rather than by a separate force species.
• Coriolis Force — In a rotating reference frame, account for the apparent transverse acceleration of relative motion with the exact velocity–rotation coupling -2 Omega cross v_rel.
• Free Fall — Classify and predict a body's motion by enforcing the gravity-only condition: after release, no dynamically significant support, drag, thrust, lift, tension, or other non-gravitational force acts, whether the body moves downward, upward, ballistically, or in orbit.
• Local reference frame — Represent observations relative to a basis or coordinate frame attached to a bounded neighborhood, point, observer, or subsystem, with transformations explicit.
• Spatial Updating — Keep the surrounding layout accurate as you move by integrating self-motion signals into an estimate of how your viewpoint has changed and applying that transformation to every stored object location, no fresh look required.
• Vehicle Axes Conventions — Standardize a vehicle’s reference-frame origin, axis directions, handedness, attachment, and positive motion signs so positions, attitudes, forces, and rotations are interpreted consistently.
• Wireless triangulation — A wireless-node localization method that estimates position from IEEE 802.11 signal-strength measurements taken from multiple reference points.