Match astronomical observations to their repeating cycles
Choose daily, yearly or roughly monthly motion to explain a periodic observation.
Exam scope and assessment notes
Core and Extended · Physics 0972, 2026–2028. Use supplied distances, periods and stated orbital models. Drawings are not to scale. Written practice is self-checked. Human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.
Before you begin
- Identify equivalent stages of a cycle.
- Convert hours and days when a problem supplies values.
Work on paper. Try each question before revealing help, and explain why your method works.
Quick readiness check
What is a period in a repeating observation?
What you will learn
- Choose daily, yearly or roughly monthly motion to explain a periodic observation.
- Match an observed repetition to its motion, period and reference.
Identify the event that repeats
A periodic observation repeats after an approximately consistent time interval. The daily apparent Sun path corresponds to Earth’s rotation, annual seasonal illumination to Earth’s orbit with tilt, and changing lunar phases to the Moon’s orbit and viewing geometry. First identify what repeats, then select the corresponding motion.
A single photograph does not establish a period. Compare repeated observations with elapsed time and the reference being used. A daily observation at the same clock time may miss much of the daily path; an incomplete record cannot by itself show every stage of a cycle.
Use approximate values honestly
For syllabus-level reasoning use approximately 24 hours, 365 days and one month. These are useful scales, not an assertion that every calendar month has identical length or that the lunar orbital and phase periods are exactly equal. A supplied numerical model should name its period and use that consistently.
More than one motion occurs simultaneously. Earth rotates while orbiting the Sun and the Moon orbits the moving Earth. Distinguishing their periods prevents explaining a year by daily rotation or treating a new-to-full phase interval as one complete lunar cycle.
Pause and explain
Which observation pair best measures a full lunar phase cycle?
Worked example
A record has sunrise–sunrise about 24 hours apart, similar seasonal illumination about a year apart and new–new Moon about a month apart. Match the motions.
Show the worked solution
- Identify the daily, annual and lunar repeated events.
- Associate them with Earth rotation, Earth orbit and lunar orbit geometry.
- Retain the approximate periods rather than inventing exact calendar equality.
Answer Daily: Earth rotation; annual: Earth orbit with tilt; lunar: Moon orbit geometry.
Try a topic test
Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.
Test this topic →From guided practice to a new situation
Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.
Match day/night, seasons and lunar phases to their approximate periods.
Give me a hint
Use the three scales rather than one generic orbital period.
Compare my reasoning
- Day/night repeats on a daily rotation scale.
- Seasonal geometry repeats on an annual orbit scale.
- Lunar phases repeat on an approximately monthly scale.
About 24 hours; 365 days; one month respectively.
Look for these in your work
- Match each event separately.
- Keep the values approximate.
In a supplied 30-day phase-cycle model, estimate the interval from new Moon to full Moon.
Give me a hint
Use opposite phase stages as half a cycle in this simplified model.
Compare my reasoning
- The supplied full cycle is 30 days.
- New and full are opposite stages.
- Half of 30 is 15 days.
Approximately 15 days in the supplied model.
Look for these in your work
- Use the supplied model, not exact recall.
- Distinguish half from a full cycle.
A chart records one Moon photograph and claims a measured monthly period. Assess the evidence.
Give me a hint
A period requires a return to an equivalent stage after an elapsed interval.
Compare my reasoning
- One image shows one phase only.
- Repeated timed observations are needed.
- The monthly value may be known from other evidence but is not measured by this image.
The photograph alone cannot establish the period.
Look for these in your work
- Distinguish knowledge from measurement.
- State what repeated evidence is needed.
Common mistakes
- A half-cycle is not a whole period.
- A calendar month is not an exact lunar period.
- One snapshot cannot measure periodicity.
What can you explain now?
Which observation pair best measures a full lunar phase cycle?
Compare with the explanation
New Moon to the next new Moon
Equivalent new phases bracket a full repeating phase cycle rather than half of one.
After trying it yourself, choose your next review. This is your self-assessment.
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Make it stick
Match an observed repetition to its motion, period and reference.
If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.