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Astronomy & space · University

Parallax distance in parsecs

Use a positive parallax in arcseconds. Reciprocal inversion of noisy parallaxes needs additional statistical care.

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Method and conditions

Use a positive parallax in arcseconds. Reciprocal inversion of noisy parallaxes needs additional statistical care.

d(pc) = 1/p(arcsec)

Worked examples

A model star has exact parallax 0.103 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

Invert the stated parallax: 1/0.103 parsecs. This exercise treats parallax as exact, not as a noisy measurement.

9.7087 pc

A model star has exact parallax 0.058 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

Invert the stated parallax: 1/0.058 parsecs. This exercise treats parallax as exact, not as a noisy measurement.

17.2414 pc

Try it

  1. A model star has exact parallax 0.019 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

  2. A model star has exact parallax 0.171 arcseconds. Calculate its distance using d=1/p. Round the final result to 4 decimal places if needed. Answer in pc.

Check your work

Answers and marking notes
  1. 52.6316 pc

    Invert the stated parallax: 1/0.019 parsecs. This exercise treats parallax as exact, not as a noisy measurement.

  2. 5.848 pc

    Invert the stated parallax: 1/0.171 parsecs. This exercise treats parallax as exact, not as a noisy measurement.

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