Which simplification was critical for astronomers using al-Khwarizmi's algebraic method to accurately predict planetary positions?

💡 Explanation

Al-Khwarizmi developed algebraic methods, which helped astronomers model celestial motion. Treating celestial bodies as point masses enabled simplifying equations by eliminating volume and shape considerations, making planetary orbit calculations tractable. Therefore simplification D results, instead of A, B, or C which remove essential physical effects for accurate predictions.

• Which mechanical vulnerability resulted from the rapid quenching of bronze tools in ancient metallurgy?
• Which mechanical effect necessitated the design of staggered or offset gatehouses in Roman fortifications?
• Which consequence results when tension decreases on the torsion springs powering a Roman ballista?
• Which mechanism limited the hull speed of 18th-century sailing ships, irrespective of sail area increase?
• Which problem increased as early steam engines scaled up to power industrial machinery?
• Which structural weakness arises when a Roman castrum wall's foundational drainage system fails due to silt accumulation?