### Abstract

We present a fast method to calculate an asteroid survey's 'bias' - essentially a correction factor from the observed number of objects to the actual number in the population. The method builds upon the work of Jedicke and Metcalfe (Jedicke, R., Metcalfe, T.S. [1998]. Icaurs 131, 245-260) and Granvik et al. (Granvik, M., Vaubaillon, J., Jedicke, R. [2012]. Icarus 218, 262-277) and essentially efficiently maps out the phase space of orbit elements that can appear in a field-of-view. It does so by 'integrating' outwards in geocentric distance along a field's boresite from the topocentric location of the survey and calculating the allowable angular elements for each desired combination of semi-major axis, eccentricity and inclination. We then use a contour algorithm to map out the orbit elements that place an object at the edge of the field-of-view. We illustrate the method's application to calculate the bias correction for near Earth Objects detected with the Catalina Sky Survey (Christensen, E. et al. [2012]. AAS/Division for Planetary Sciences Meeting Abstracts, vol. 44, p. 210.13; Larson, S. et al. [1998]. Bulletin of the American Astronomical Society, vol. 30, p. 1037).

Original language | English (US) |
---|---|

Journal | Icarus |

DOIs | |

State | Accepted/In press - Dec 17 2013 |

### Fingerprint

### Keywords

- Asteroids
- Asteroids, dynamics
- Data reduction techniques
- Near-Earth Objects

### ASJC Scopus subject areas

- Space and Planetary Science
- Astronomy and Astrophysics

### Cite this

*Icarus*. https://doi.org/10.1016/j.icarus.2015.10.021

**A fast method for quantifying observational selection effects in asteroid surveys.** / Jedicke, Robert; Bolin, Bryce; Granvik, Mikael; Beshore, Edward C.

Research output: Contribution to journal › Article

*Icarus*. https://doi.org/10.1016/j.icarus.2015.10.021

}

TY - JOUR

T1 - A fast method for quantifying observational selection effects in asteroid surveys

AU - Jedicke, Robert

AU - Bolin, Bryce

AU - Granvik, Mikael

AU - Beshore, Edward C

PY - 2013/12/17

Y1 - 2013/12/17

N2 - We present a fast method to calculate an asteroid survey's 'bias' - essentially a correction factor from the observed number of objects to the actual number in the population. The method builds upon the work of Jedicke and Metcalfe (Jedicke, R., Metcalfe, T.S. [1998]. Icaurs 131, 245-260) and Granvik et al. (Granvik, M., Vaubaillon, J., Jedicke, R. [2012]. Icarus 218, 262-277) and essentially efficiently maps out the phase space of orbit elements that can appear in a field-of-view. It does so by 'integrating' outwards in geocentric distance along a field's boresite from the topocentric location of the survey and calculating the allowable angular elements for each desired combination of semi-major axis, eccentricity and inclination. We then use a contour algorithm to map out the orbit elements that place an object at the edge of the field-of-view. We illustrate the method's application to calculate the bias correction for near Earth Objects detected with the Catalina Sky Survey (Christensen, E. et al. [2012]. AAS/Division for Planetary Sciences Meeting Abstracts, vol. 44, p. 210.13; Larson, S. et al. [1998]. Bulletin of the American Astronomical Society, vol. 30, p. 1037).

AB - We present a fast method to calculate an asteroid survey's 'bias' - essentially a correction factor from the observed number of objects to the actual number in the population. The method builds upon the work of Jedicke and Metcalfe (Jedicke, R., Metcalfe, T.S. [1998]. Icaurs 131, 245-260) and Granvik et al. (Granvik, M., Vaubaillon, J., Jedicke, R. [2012]. Icarus 218, 262-277) and essentially efficiently maps out the phase space of orbit elements that can appear in a field-of-view. It does so by 'integrating' outwards in geocentric distance along a field's boresite from the topocentric location of the survey and calculating the allowable angular elements for each desired combination of semi-major axis, eccentricity and inclination. We then use a contour algorithm to map out the orbit elements that place an object at the edge of the field-of-view. We illustrate the method's application to calculate the bias correction for near Earth Objects detected with the Catalina Sky Survey (Christensen, E. et al. [2012]. AAS/Division for Planetary Sciences Meeting Abstracts, vol. 44, p. 210.13; Larson, S. et al. [1998]. Bulletin of the American Astronomical Society, vol. 30, p. 1037).

KW - Asteroids

KW - Asteroids, dynamics

KW - Data reduction techniques

KW - Near-Earth Objects

UR - http://www.scopus.com/inward/record.url?scp=84947460845&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947460845&partnerID=8YFLogxK

U2 - 10.1016/j.icarus.2015.10.021

DO - 10.1016/j.icarus.2015.10.021

M3 - Article

JO - Icarus

JF - Icarus

SN - 0019-1035

ER -