Trigonometric Parallax Requires very precise measurements of stellar positions, and long baselines Need telescopes with high resolution, and must observe over several years. Hipparchos satellite measured distances to tens of thousands of stars within 1,500 light-years of the Sun.
2) The Standard Candle Use knowledge of physical and/or empirical properties of an object to determine its Luminosity, which yields distance via the Inverse Square Law of Light. Ex: Cepheid Variables, Supernovae, TRGB, Tully-Fisher Considered to be relative until tied to an absolute calibration.
Cepheid Variable Stars There is a kind of giant star whose surface pulsates in and out with a regular period. That period of pulsation is related to the Luminosity of the star. LMC contains hundreds of known Cepheids all at the same distance. Which allows for robust determination of the Period Luminosity Relationship.
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