Grade 12 · Week 09 · Thursday

Orbit & Gravity Field Investigations

Objective: Run controlled digital gravity and circular-orbit experiments, including ratios and unit checks.

45–60 minutes · Complete offline lessons · Algebra and scientific reasoning

Reading: Develop the model

A controlled gravity-field comparison

In the Gravity Field Explorer, hold the central body and test mass fixed. Increase altitude and record radial distance, field strength g, and force on the test mass. Compare force ratios for two different radial distances and check the result against (r₁/r₂)². Do not confuse the force value in newtons with acceleration in m/s².

A controlled orbit comparison

In the Orbital Studio, select a central body model, then vary only altitude. Record radius measured from the center, circular speed, gravitational acceleration and period. Earth and Moon use different gravitational parameters and radii; comparing their altitude fields requires stating both body differences, not treating altitude as the only changed variable.

Use accessible synthetic data

The CSVs supply precomputed examples for students who cannot use slider controls or SVG diagrams. Values are rounded so slight differences from full-precision calculations are expected. Students should note how rounded constants and significant figures affect reported numerical precision.

Safety and model scope

This laboratory requires no rockets, live objects, launching or dropping equipment. A simplified circle model is not an orbital flight planner. Scientific data here are generated algebraically without live telemetry, telescope observation or real spacecraft tracking. Document what was calculated and identify a real-world effect absent from the model.

Five terms in context

controlled trial
Comparison where one variable is changed deliberately.
altitude
Height measured above the chosen body's reference surface.
orbital radius
Distance from central body's center to satellite.
gravitational field strength
Acceleration due to the central mass at the chosen radius.
model provenance
Statement explaining whether outputs are synthetic, measured or inferred.

Worked example

For Earth R≈6371 km, h=400 km gives r=6771 km. At h=1000 km, r=7371 km. Since g∝1/r², g(1000)/g(400)=(6771/7371)²≈0.844, not (400/1000)².

Show the radius measured from the central body's center, all units and rounding.

Science evidence notebook

Record three Gravity Field trials and three Orbital Studio trials. Export the journals, explain one ratio and provide a worked period calculation with units.

Browser-local notes only. Export JSON to preserve work across devices.

Daily · 4 Retrieval Questions

Public open-book formative practice with explanatory feedback and an 80% correction target, not an authenticated midterm or final.