SMITHSONIAN MISCELLANEOUS COLLECTIONS
VOLUME
95,NUMBER11Hrtbur jfunb
INFLUENCE OF PLANETARY CONFIGURATIONS UPON THE FREQUENCY OF VISIBLE
SUN SPOTS
BY
FERNANDO SANFORD
PaloAlto,California
(Publication 3391)
CITY OF
WASHINGTON
PUBLISHED BY
THE
SMITHSONIAN INSTITUTIONJUNE
5, 1936SMITHSONIAN MISCELLANEOUS COLLECTIONS
VOLUME
95,NUMBERU
Hrtbur Jfunb
INFLUENCE OF PLANETARY CONFIGURATIONS UPON THE FREQUENCY OF VISIBLE
SUN SPOTS
BY
FERNANDO SANFORD
PaloAlto,California
(Publication' 3391)
CITY OF
WASHINGTON
PUBLISHEDBY
THE
SMITHSONIAN INSTITUTIONJUNE
5. 1936BALTIMORE,MD., U.8.A.
Brtbur
f\\nt>INFLUENCE OF PLANETARY CONFIGURATIONS UPON THE FREQUENCY OF VISIBLE SUN SPOTS
By FERNANDO SANFORD
Palo Alto, California
Inanydiscussion of sun-spotfrequencyitshould bebornein
mind
that only one-half of the
Sun
isvisibleto usat one time,and
that all sun-spot data refer only to spots on the terrestrial side of the Sun.In1907 A.S.D.
Maunder
published apaperentitled"An
xA.pparent Influence of the EarthontheNumbers
and Areas of Sun-spots in theCycle 1889-1901."^ Mrs.Maunder
foundthatfor the yearsunder considerationmore
spotscame
intoview aroundtheeast limb of theSun
than passedout ofview aroundthewestlimb;thatis,thatmore
spots died outonthevisiblesideof theSun
thanwereformed
onit.As
asummary
of Mrs. Maunder's observationswe
havethe follow- ingtal)le:
Spotsborn onvisiblehemisphere 384 Spotsbornoninvisiblehemisphere 5/2 Spots died onvisiblehemisphere 564 Spots diedoninvisible hemisphere 402
Alltold,947 groups
came
intoview aroundthe eastlimb orformed close toit, and only/"/y groups passed aroundthewest limb ordis- solvedclose toit. This leaves a difference of 170groups, or 22per- cent of the disappearances, which seem to bedue tosome
influence exerted by the Earth. Apparently, the Earth exerts an inhibitive influenceupon
the formationof sun spotsupon
itsown
sideof theSun
or aids theirformationupon
the oppositeside, or,perhaps, both.This plain inference seems not to have been tested in the case of otherplanets.
ItisreasonabletoinferthatwhateverinfluencetheEarth
may
have on sunspots,a similar influencemay
be exertedbytheplanetVenus, which is comparable in size and massto the Earth and is less than'MonthlyNot.Roy.Astronom.Soc,
May
1907.Smithsonian MiscellaneousCollections, Vol.95,No.11 I
2
SMITHSONIAN MISCELLANEOUS
COLLECTIONS VOL. 95three-fourths the Earth's distance
from
the Sun. If such should prove to he the case, the visible spottedness of theSun
should be decreasedwhen Venus
and the Earth are on thesame
side of the Sun,orincreasedwhen
they areonoppositesides,orbothphenomena
should appear.In the publications of
The
International AstronomicalUnion
are given thedailyvalues of the sun-spotrelativenumbers
beginning with 1917.The mean
synodical period ofVenus
is 584 days.The
daily sun-spotnumbers
for 10 synodical periods of Venus, beginning at superiorconjunction ofVenus
and theSun
on April 25, 1917,and
ending June29, 1932, w-erearrangedinregularorderintheirrespec-NO. II
FREQUENCY
OF VISIBLESUN
SPOTSSANFORD
3atan angular distance of 90 degrees
—
andthesun-spotnumbers
foreach of these100 daysaregivenintable2.
Table2.
—
TheEarthand Venusatanangular separationofninetydegrees
Sept.18, July 3, Apr. 2, Feb. 6,
Nov.26, Sept.15, July 2, Apr. 17, Feb. 3, Nov.26,
1917 1918 1919 1920 1920 1921 1922 1923 1924 1924
97
4 SMITHSONIAN MISCELLANEOUS
COLLECTIONS VOL. 95Takingtheabovefacts intoconsideration alongwiththe
known
dis- turbing influence ofVenus,itseems,ifnot hopeless, yetverydifficult to detectwithcertaintyany effectsof the relativepositions ofMer-
curyand
theEarthupon
thevisiblespottedness of theSun.Nevertheless, the sun-spottedness of 20periods of 116 days each, starting
from
the inferior conjunction ofMercury
andtheSun, were addedandtheirmean
sun-spotnumbers
wererepresented graphically.The
resultingcurvewas
veryirregularand gave noplain indication of amarked
sun-spot activity at either conjunction.However,
in the twenty ii6-dayperiods the sun-spotnumbers
atinferior conjunction averaged 48, and on the 58th day after inferior conjunction they averaged57,showing anincrease ofabout 15 percentwhen
theEarth andMercury
were onoppositesidesoftheSun.Itseemsunwiseto laytoo
much
stressupon
thisonesetof observa- tions.A
verylargenumber
of suchseriestakenatwidelydistributed intervalswould
be necessarytodetermine withcertaintythe influenceupon
visiblesunspotsof therelativepositionsofMercury and
Earth.An
attemptwas made
todeterminewhetherthereisanappreciable differenceinsun-spottedness as seenfrom
theEarthwhen Venus
andMercury
areonthesame,or onopposite,sidesof theSun. TAventy-two
groupsof 5dayseachwere takenwhen Venus and Mercury
were at thesame
heliocentric longitude, and themean
value of the sun- spotnumbers
for theno
dayssotakenwas
35.4.Twenty-three groups of 5 days each, covering the
same
period takenwhen
the heliocentriclongitudes ofVenus
andMercury
differed by 180 degrees,gaveamean
value for the sun-spotnumbers
of 44.2 forthe 115 days.Forty-four groupsof 5days each, covering the
same
period, were takenwhen
the heliocentric longitudes of the planets differed by 90 degrees.The mean
value of the sun-spotnumbers
forthese220dayswas
38.5.The mean
value of theobservedsun-spotnumbers when
the planets were onoppositesidesof theSun was
24.9 percent greaterthanwhen
they were on thesame
side.The
observed spottednesswhen
the planets wereatan angular separation of90
degreeswas
8.8 percent greater thanwhen
they were on thesame
side of theSun
and 12.9 percentlessthanwhen
theywere onoppositesidesof theSun.The
abovedatadonot take intoconsideration therelationofeither planettotheEarth duringtheperiodunderconsideration,anditseems probablethata similarsetofdatatakenatadifferenttimewould show
dift'erentresults. Nevertheless,theyseemsignificantandare given for whateverthey are worth.
XO. II
FREQUENCY
OF VISIBLESUN
SPOTSSANFORD
5Similarcomparisonswere
made
withMars and
theEarthand
with Jupiter and the Earth and with thetwo
planets taken together. In all casesthe observedeffects were virtually inappreciable,being less than 3 percentineverycase.From
the above data it seems safe to assert that sun spots are influencedbythe configurations ofVenus
andtheEarth and probably byMercury and
the Earth,and Mercury and
Venus. In the case ofthe other planetsno sucheffecthasbeen shown.In the foregoing discussion no attempthas been
made
to propose anytheory of the formationof sunspots. Ithasmerely beenshown
thatsunspots are asifrepelledbytheEarth
and
thenearerplanets.Any
sun-spot theorymust accountat least forthis effectiverepulsion.In spiteof the prevailing opinion of astronomersasexpressed by Stratton in "Astronomical Physics " that
enormous
electric fields in and near theSun
"must
be ruled out," it seems to be universally agreedthatthe rotating gaseswhichgiverisetothepowerful magneticfieldsofsunspotsare highlyelectrified.
The
onlyknown
body which can repelan electricallychargedbodyis anotherbody similarlyelectrified. If the planetswhich are
known
to repel thecharged sun spots are themselveselectrifiedinthe
same manner
asthe repelled sunspots,we
havea probable explanation of thisrepulsion.Whether
the planets are so charged or notis a purely qualitative question which cannotbeanswered by any mathematical theory, but onlyinthesame manner
thatwe may
determine theelectrificationof anyinsulatedbody,namely, whetheritrepels orattractsaknown
elec- trifiedbody and whetheritsrotationmay
generate amagneticfield.The
author hasshown
in hismonograph
on "Terrestrial Elec- tricity ""that the Sun,the Earth,and
theMoon
haveallgivenwhat
seems tohim
conclusive proofs of their negative electrification. If this shouldbe suspected in the case of the otherplanets, itonly re- mains to inquirewhat
otherphenomena
which have been observed betweenelectrifiedbodiesmay
be detectedbetweentheplanetsandthe electrifiedgases of theSun.-Sanford,Fernando, TerrestrialElectricity,Stanford University Press, 1931.