Volkenborn integral - Revision history

Deltahedron: /* Definition */ reword, function can take values in C_p

2014-02-11T15:21:47Z

Definition: reword, function can take values in C_p

← Older revision		Revision as of 17:21, 11 February 2014
Line 1:		Line 1:
	~~{{Infobox planet~~		Petroleum Engineer Odis from Lively, has hobbies and interests for example bmx, [http://forum.copy9.com/member.php?u=36038-Barb23Tkmiokow Largest property Developers in singapore] developers in singapore and writing. Plans to quit work and take the family to numerous noteworthy heritage listed locales on the planet like Central Sikhote-Alin.
	~~\|width=22em~~
	~~\|name=(66063) 1998 RO<sub>1</sub>~~
	~~\|bgcolour=#FFFFC0~~
	~~\|image=[[File:Orbit of (66063) 1998 RO1.gif\|thumb\|center\|300 px\|Orbit of (66063) 1998 RO<sub>1</sub>]]~~
	\|discovery_ref=<ref name="JPL SBDB">{{cite sbdb\|title=66063 (1998) RO1\|id=2066063}}</ref><ref name="Johnston">{{cite web \| url=http://www.johnstonsarchive.net/astro/astmoons/am-66063.html \| title=(66063) 1998 RO1 \| work=Johnston Archive \| date=March 29, ~~2009 \| accessdate=19 December 2013 \| author=Johnston, Robert}}</ref>~~
	~~\|discoverer=[[LINEAR]]~~
	~~\|discovered=September 14, 1998~~
	~~\|discovery_site=''[[Socorro]]''~~
	~~\|alt_names=1999 SN<sub>5</sub>~~
	~~\|orbit_ref=<ref name="JPL SBDB" />~~
	~~\|epoch=November 4, 2013~~
	~~\|aphelion={{convert\|1.7045\|AU\|Gm\|abbr=on}}~~
	~~\|perihelion={{convert\|0.2774\|AU\|Gm\|abbr=on}}~~
	~~\|semimajor={{convert\|0.9909\|AU\|Gm\|abbr=on}}~~
	~~\|eccentricity=0.7201~~
	~~\|period=360.29 days~~
	~~\|avg_speed=~~
	~~\|inclination=22.676°~~
	~~\|asc_node=351.88°~~
	~~\|mean_anomaly=30.141°~~
	~~\|arg_peri=151.11°~~
	~~\|p_orbit_ref=<ref name="JPL SBDB" />~~
	~~\|p_mean_motion=0.9992~~
	~~\|satellites=1~~
	~~\|dimensions={{convert\|712\|m\|ft\|abbr=on}}<ref name="Abs Mag">Used absolute magnitude~~ and ~~albedo values for {{cite web \| url=http://www.physics.sfasu.edu/astro/asteroids/sizemagnitude.html \| title=Conversion of Absolute Magnitude to Diameter~~ for ~~Minor Planets \| publisher=Stephen F. Austin State University \| accessdate=23 December 2013 \| author=Bruton~~, ~~Dan}}</ref>~~
	~~\|mass=5.976×10<sup>9</sup> [~~[~~Metric ton\|mt]]<ref name="PHL"> Used mean density/albedo value for {{cite web \| url=~~http://~~phl~~.upr.edu/projects/habitable-exoplanets-catalog/calculators \| title=Exoplanets Calculator \| publisher=University of Puerto Rico \| work=Planetary Habitability Laboratory \| accessdate=20 December 2013}}</ref>
	~~\|density=2.8±1.3 g/cm³<ref name="Lightcurves">{{cite journal \| url=http://www.sciencedirect~~.com/~~science/article/pii/S0019103508004193 \| title=Modeling of Lightcurves of Binary Asteroids \| journal=The Icarus Journal \|date=April 2009\| volume=200 \| issue=2 \| pages=531-547 \| doi=10.1016/j.icarus~~.~~2008.12.001}}</ref>~~
	~~\|surface_grav=0.0624 mm/s<sup>2</sup><ref name="PHL" />~~
	~~\|escape_velocity=0.0999 mm/s<ref name="PHL" />~~
	~~\|sidereal_day=2.4924 hours<ref name="JPL SBDB" />~~
	~~\|axial_tilt=~~
	~~\|pole_ecliptic_lat=~~
	~~\|pole_ecliptic_lon=~~
	~~\|albedo=0.2<ref name="Johnston" />~~
	~~\|single_temperature=202-500 K (-71-227°C)<ref name="PHL" />~~
	~~\|spectral_type=~~
	~~\|abs_magnitude~~=~~18.1<ref name="JPL SBDB" />~~
	}}

	'''(66063) 1998 RO<sub>1</sub>''' is an [[Aten asteroid]] with a very eccentric orbit that was discovered September 14, 1998 by the [[LINEAR]] program.<ref name="JPL SBDB" /><ref name="Johnston" /> It is known to have a [[Minor-~~planet moon\|moon]], S/2001 (66063) 1.~~

	~~==Interaction with Earth==~~
	1998 RO<sub>1</sub>'s orbit is very eccentric, with an aphelion beyond the orbit of [[Mars]] and a perihelion inside the orbit of [[Mercury]].<ref name="Johnston" /> However, with its orbital period of 360.29 days (0.99 years), 1998 RO<sub>1</sub> is in ~~a [[Quasi-satellite\|1:1 resonance]] with [[Earth]~~]~~. The asteroid does make close approaches to Earth,<ref name="JPL SBDB" /> but this orbital resonance means that it will not pose a real threat to Earth~~ in ~~millions, or perhaps [[Timeline of the far future\|billions of years]]~~. ~~On the other hand, 1998 RO<sub>1</sub> makes closer approaches~~ to ~~the other inner planets, especially Mars. Its closest approach to a planet, past or future, was to Mars, as it passed {{convert\|0.008985\|AU\|km\|abbr=on}} on March 19, 1964.<ref name="JPL SBDB" />~~

	~~==Moon==~~
	~~[[File:Orbit2.gif\|thumb\|left\|100 px\|S/2001 (66063) 1 orbits 1998 RO<sub>1</sub> in a manner very similar to this. The red cross is the center of mass.]]~~
	~~1998 RO<sub>1</sub> has one moon, S/2001 (66063) 1.<ref name="Johnston" /> This moon was discovered from lightcurve observations going from September 13-28, 2013,~~ and ~~was confirmed by radar observations from~~ the [[Arecibo Observatory]] one year later.<ref name="Johnston" /><ref name="Echo">{{cite web \| url=http://echo.jpl.nasa.gov/~lance/binary.neas.html \| title=BINARY AND TERNARY NEAR-EARTH ASTEROIDS DETECTED BY RADAR \| publisher=Jet Propulsion Laboratory \| date=November 28, 2013 \| accessdate=30 December 2013 \| author=Benner, Lance}}</ref> It is in a very close orbit to 1998 RO<sub>1</sub>, with a semi-major axis of {{convert\|800\|m\|ft\|abbr=on}} and an eccentricity of 0.06,<ref name="Johnston" /><ref name="Lightcurves" /> giving it a periapsis of {{convert\|752\|m\|ft\|abbr=on~~}} and an apoapsis of {{convert\|848\|m\|ft\|abbr=on}}. S/2001 (66063) 1 takes 14.54 hours to complete one orbit around 1998 RO<sub>1</sub>.<ref name="Lightcurves" /> From~~ the ~~surface of 1998 RO<sub>1</sub>, S/2001 (66063) 1 would have an apparent diameter of roughly 41°.<ref group="lower~~-alpha">Calculated by solving <math> \scriptstyle{\mathrm{tan}\left(\frac{\theta}{2}\right) = \frac{\mathrm{radius~of~moon}}{\mathrm{distance~from~surface~of~asteroid~to~center~of~moon}}}</math>.</ref> For comparison, the [[Sun]] appears to be 0.~~5° from [[Earth]].~~

	~~{{clear\|left}}~~

	~~==Notes==~~
	~~{{notelist}}~~

	~~==References==~~
	~~{{reflist}}~~

	~~{{Minor planets navigator\|(66062) 1998 RG1\|(66064) 1998 RW4}}~~

	~~{{DEFAULTSORT:1998 RO1}}~~
	~~[[Category:Astronomical objects discovered in 1998]]~~
	~~[[Category:Near-Earth asteroids]]~~
	~~[[Category:Binary asteroids]]~~
	~~[[Category:Aten asteroids]]~~
	~~[[Category:Asteroids]]~~

en>PetrusJohannes at 22:00, 15 January 2014

2014-01-15T22:00:46Z

New page

{{Infobox planet
|width=22em
|name=(66063) 1998 RO1
|bgcolour=#FFFFC0
|image=[[File:Orbit of (66063) 1998 RO1.gif|thumb|center|300 px|Orbit of (66063) 1998 RO1]]
|discovery_ref=<ref name="JPL SBDB">{{cite sbdb|title=66063 (1998) RO1|id=2066063}}</ref><ref name="Johnston">{{cite web | url=http://www.johnstonsarchive.net/astro/astmoons/am-66063.html | title=(66063) 1998 RO1 | work=Johnston Archive | date=March 29, 2009 | accessdate=19 December 2013 | author=Johnston, Robert}}</ref>
|discoverer=[[LINEAR]]
|discovered=September 14, 1998
|discovery_site=''[[Socorro]]''
|alt_names=1999 SN5
|orbit_ref=<ref name="JPL SBDB" />
|epoch=November 4, 2013
|aphelion={{convert|1.7045|AU|Gm|abbr=on}}
|perihelion={{convert|0.2774|AU|Gm|abbr=on}}
|semimajor={{convert|0.9909|AU|Gm|abbr=on}}
|eccentricity=0.7201
|period=360.29 days
|avg_speed=
|inclination=22.676°
|asc_node=351.88°
|mean_anomaly=30.141°
|arg_peri=151.11°
|p_orbit_ref=<ref name="JPL SBDB" />
|p_mean_motion=0.9992
|satellites=1
|dimensions={{convert|712|m|ft|abbr=on}}<ref name="Abs Mag">Used absolute magnitude and albedo values for {{cite web | url=http://www.physics.sfasu.edu/astro/asteroids/sizemagnitude.html | title=Conversion of Absolute Magnitude to Diameter for Minor Planets | publisher=Stephen F. Austin State University | accessdate=23 December 2013 | author=Bruton, Dan}}</ref>
|mass=5.976×109 [[Metric ton|mt]]<ref name="PHL"> Used mean density/albedo value for {{cite web | url=http://phl.upr.edu/projects/habitable-exoplanets-catalog/calculators | title=Exoplanets Calculator | publisher=University of Puerto Rico | work=Planetary Habitability Laboratory | accessdate=20 December 2013}}</ref>
|density=2.8±1.3 g/cm³<ref name="Lightcurves">{{cite journal | url=http://www.sciencedirect.com/science/article/pii/S0019103508004193 | title=Modeling of Lightcurves of Binary Asteroids | journal=The Icarus Journal |date=April 2009| volume=200 | issue=2 | pages=531-547 | doi=10.1016/j.icarus.2008.12.001}}</ref>
|surface_grav=0.0624 mm/s2<ref name="PHL" />
|escape_velocity=0.0999 mm/s<ref name="PHL" />
|sidereal_day=2.4924 hours<ref name="JPL SBDB" />
|axial_tilt=
|pole_ecliptic_lat=
|pole_ecliptic_lon=
|albedo=0.2<ref name="Johnston" />
|single_temperature=202-500 K (-71-227°C)<ref name="PHL" />
|spectral_type=
|abs_magnitude=18.1<ref name="JPL SBDB" />
}}

'''(66063) 1998 RO1''' is an [[Aten asteroid]] with a very eccentric orbit that was discovered September 14, 1998 by the [[LINEAR]] program.<ref name="JPL SBDB" /><ref name="Johnston" /> It is known to have a [[Minor-planet moon|moon]], S/2001 (66063) 1.

==Interaction with Earth==
1998 RO1's orbit is very eccentric, with an aphelion beyond the orbit of [[Mars]] and a perihelion inside the orbit of [[Mercury]].<ref name="Johnston" /> However, with its orbital period of 360.29 days (0.99 years), 1998 RO1 is in a [[Quasi-satellite|1:1 resonance]] with [[Earth]]. The asteroid does make close approaches to Earth,<ref name="JPL SBDB" /> but this orbital resonance means that it will not pose a real threat to Earth in millions, or perhaps [[Timeline of the far future|billions of years]]. On the other hand, 1998 RO1 makes closer approaches to the other inner planets, especially Mars. Its closest approach to a planet, past or future, was to Mars, as it passed {{convert|0.008985|AU|km|abbr=on}} on March 19, 1964.<ref name="JPL SBDB" />

==Moon==
[[File:Orbit2.gif|thumb|left|100 px|S/2001 (66063) 1 orbits 1998 RO1 in a manner very similar to this. The red cross is the center of mass.]]
1998 RO1 has one moon, S/2001 (66063) 1.<ref name="Johnston" /> This moon was discovered from lightcurve observations going from September 13-28, 2013, and was confirmed by radar observations from the [[Arecibo Observatory]] one year later.<ref name="Johnston" /><ref name="Echo">{{cite web | url=http://echo.jpl.nasa.gov/~lance/binary.neas.html | title=BINARY AND TERNARY NEAR-EARTH ASTEROIDS DETECTED BY RADAR | publisher=Jet Propulsion Laboratory | date=November 28, 2013 | accessdate=30 December 2013 | author=Benner, Lance}}</ref> It is in a very close orbit to 1998 RO1, with a semi-major axis of {{convert|800|m|ft|abbr=on}} and an eccentricity of 0.06,<ref name="Johnston" /><ref name="Lightcurves" /> giving it a periapsis of {{convert|752|m|ft|abbr=on}} and an apoapsis of {{convert|848|m|ft|abbr=on}}. S/2001 (66063) 1 takes 14.54 hours to complete one orbit around 1998 RO1.<ref name="Lightcurves" /> From the surface of 1998 RO1, S/2001 (66063) 1 would have an apparent diameter of roughly 41°.<ref group="lower-alpha">Calculated by solving <math> \scriptstyle{\mathrm{tan}\left(\frac{\theta}{2}\right) = \frac{\mathrm{radius~of~moon}}{\mathrm{distance~from~surface~of~asteroid~to~center~of~moon}}}</math>.</ref> For comparison, the [[Sun]] appears to be 0.5° from [[Earth]].

{{clear|left}}

==Notes==
{{notelist}}

==References==
{{reflist}}

{{Minor planets navigator|(66062) 1998 RG1|(66064) 1998 RW4}}

{{DEFAULTSORT:1998 RO1}}
[[Category:Astronomical objects discovered in 1998]]
[[Category:Near-Earth asteroids]]
[[Category:Binary asteroids]]
[[Category:Aten asteroids]]
[[Category:Asteroids]]

← Older revision		Revision as of 17:21, 11 February 2014
Line 1:		Line 1:
	~~{{Infobox planet~~		Petroleum Engineer Odis from Lively, has hobbies and interests for example bmx, [http://forum.copy9.com/member.php?u=36038-Barb23Tkmiokow Largest property Developers in singapore] developers in singapore and writing. Plans to quit work and take the family to numerous noteworthy heritage listed locales on the planet like Central Sikhote-Alin.
	~~\|width=22em~~
	~~\|name=(66063) 1998 RO<sub>1</sub>~~
	~~\|bgcolour=#FFFFC0~~
	~~\|image=[[File:Orbit of (66063) 1998 RO1.gif\|thumb\|center\|300 px\|Orbit of (66063) 1998 RO<sub>1</sub>]]~~
	\|discovery_ref=<ref name="JPL SBDB">{{cite sbdb\|title=66063 (1998) RO1\|id=2066063}}</ref><ref name="Johnston">{{cite web \| url=http://www.johnstonsarchive.net/astro/astmoons/am-66063.html \| title=(66063) 1998 RO1 \| work=Johnston Archive \| date=March 29, ~~2009 \| accessdate=19 December 2013 \| author=Johnston, Robert}}</ref>~~
	~~\|discoverer=[[LINEAR]]~~
	~~\|discovered=September 14, 1998~~
	~~\|discovery_site=''[[Socorro]]''~~
	~~\|alt_names=1999 SN<sub>5</sub>~~
	~~\|orbit_ref=<ref name="JPL SBDB" />~~
	~~\|epoch=November 4, 2013~~
	~~\|aphelion={{convert\|1.7045\|AU\|Gm\|abbr=on}}~~
	~~\|perihelion={{convert\|0.2774\|AU\|Gm\|abbr=on}}~~
	~~\|semimajor={{convert\|0.9909\|AU\|Gm\|abbr=on}}~~
	~~\|eccentricity=0.7201~~
	~~\|period=360.29 days~~
	~~\|avg_speed=~~
	~~\|inclination=22.676°~~
	~~\|asc_node=351.88°~~
	~~\|mean_anomaly=30.141°~~
	~~\|arg_peri=151.11°~~
	~~\|p_orbit_ref=<ref name="JPL SBDB" />~~
	~~\|p_mean_motion=0.9992~~
	~~\|satellites=1~~
	~~\|dimensions={{convert\|712\|m\|ft\|abbr=on}}<ref name="Abs Mag">Used absolute magnitude~~ and ~~albedo values for {{cite web \| url=http://www.physics.sfasu.edu/astro/asteroids/sizemagnitude.html \| title=Conversion of Absolute Magnitude to Diameter~~ for ~~Minor Planets \| publisher=Stephen F. Austin State University \| accessdate=23 December 2013 \| author=Bruton~~, ~~Dan}}</ref>~~
	~~\|mass=5.976×10<sup>9</sup> [~~[~~Metric ton\|mt]]<ref name="PHL"> Used mean density/albedo value for {{cite web \| url=~~http://~~phl~~.upr.edu/projects/habitable-exoplanets-catalog/calculators \| title=Exoplanets Calculator \| publisher=University of Puerto Rico \| work=Planetary Habitability Laboratory \| accessdate=20 December 2013}}</ref>
	~~\|density=2.8±1.3 g/cm³<ref name="Lightcurves">{{cite journal \| url=http://www.sciencedirect~~.com/~~science/article/pii/S0019103508004193 \| title=Modeling of Lightcurves of Binary Asteroids \| journal=The Icarus Journal \|date=April 2009\| volume=200 \| issue=2 \| pages=531-547 \| doi=10.1016/j.icarus~~.~~2008.12.001}}</ref>~~
	~~\|surface_grav=0.0624 mm/s<sup>2</sup><ref name="PHL" />~~
	~~\|escape_velocity=0.0999 mm/s<ref name="PHL" />~~
	~~\|sidereal_day=2.4924 hours<ref name="JPL SBDB" />~~
	~~\|axial_tilt=~~
	~~\|pole_ecliptic_lat=~~
	~~\|pole_ecliptic_lon=~~
	~~\|albedo=0.2<ref name="Johnston" />~~
	~~\|single_temperature=202-500 K (-71-227°C)<ref name="PHL" />~~
	~~\|spectral_type=~~
	~~\|abs_magnitude~~=~~18.1<ref name="JPL SBDB" />~~
	}}

	'''(66063) 1998 RO<sub>1</sub>''' is an [[Aten asteroid]] with a very eccentric orbit that was discovered September 14, 1998 by the [[LINEAR]] program.<ref name="JPL SBDB" /><ref name="Johnston" /> It is known to have a [[Minor-~~planet moon\|moon]], S/2001 (66063) 1.~~

	~~==Interaction with Earth==~~
	1998 RO<sub>1</sub>'s orbit is very eccentric, with an aphelion beyond the orbit of [[Mars]] and a perihelion inside the orbit of [[Mercury]].<ref name="Johnston" /> However, with its orbital period of 360.29 days (0.99 years), 1998 RO<sub>1</sub> is in ~~a [[Quasi-satellite\|1:1 resonance]] with [[Earth]~~]~~. The asteroid does make close approaches to Earth,<ref name="JPL SBDB" /> but this orbital resonance means that it will not pose a real threat to Earth~~ in ~~millions, or perhaps [[Timeline of the far future\|billions of years]]~~. ~~On the other hand, 1998 RO<sub>1</sub> makes closer approaches~~ to ~~the other inner planets, especially Mars. Its closest approach to a planet, past or future, was to Mars, as it passed {{convert\|0.008985\|AU\|km\|abbr=on}} on March 19, 1964.<ref name="JPL SBDB" />~~

	~~==Moon==~~
	~~[[File:Orbit2.gif\|thumb\|left\|100 px\|S/2001 (66063) 1 orbits 1998 RO<sub>1</sub> in a manner very similar to this. The red cross is the center of mass.]]~~
	~~1998 RO<sub>1</sub> has one moon, S/2001 (66063) 1.<ref name="Johnston" /> This moon was discovered from lightcurve observations going from September 13-28, 2013,~~ and ~~was confirmed by radar observations from~~ the [[Arecibo Observatory]] one year later.<ref name="Johnston" /><ref name="Echo">{{cite web \| url=http://echo.jpl.nasa.gov/~lance/binary.neas.html \| title=BINARY AND TERNARY NEAR-EARTH ASTEROIDS DETECTED BY RADAR \| publisher=Jet Propulsion Laboratory \| date=November 28, 2013 \| accessdate=30 December 2013 \| author=Benner, Lance}}</ref> It is in a very close orbit to 1998 RO<sub>1</sub>, with a semi-major axis of {{convert\|800\|m\|ft\|abbr=on}} and an eccentricity of 0.06,<ref name="Johnston" /><ref name="Lightcurves" /> giving it a periapsis of {{convert\|752\|m\|ft\|abbr=on~~}} and an apoapsis of {{convert\|848\|m\|ft\|abbr=on}}. S/2001 (66063) 1 takes 14.54 hours to complete one orbit around 1998 RO<sub>1</sub>.<ref name="Lightcurves" /> From~~ the ~~surface of 1998 RO<sub>1</sub>, S/2001 (66063) 1 would have an apparent diameter of roughly 41°.<ref group="lower~~-alpha">Calculated by solving <math> \scriptstyle{\mathrm{tan}\left(\frac{\theta}{2}\right) = \frac{\mathrm{radius~of~moon}}{\mathrm{distance~from~surface~of~asteroid~to~center~of~moon}}}</math>.</ref> For comparison, the [[Sun]] appears to be 0.~~5° from [[Earth]].~~

	~~{{clear\|left}}~~

	~~==Notes==~~
	~~{{notelist}}~~

	~~==References==~~
	~~{{reflist}}~~

	~~{{Minor planets navigator\|(66062) 1998 RG1\|(66064) 1998 RW4}}~~

	~~{{DEFAULTSORT:1998 RO1}}~~
	~~[[Category:Astronomical objects discovered in 1998]]~~
	~~[[Category:Near-Earth asteroids]]~~
	~~[[Category:Binary asteroids]]~~
	~~[[Category:Aten asteroids]]~~
	~~[[Category:Asteroids]]~~