© Copyright 2008: Instituto de Astronomía, Universidad Nacional Autónoma de México ous the b lost 1782, jor umen la R M noma y evista w ´ exico, 1 2 The Piazzi Instituto F semi-axis Europ ma planet” is acultad de ted that w Mexico. jor M t Mexic ell w review). ´ exico, ean o on semi-axis de the h kno de at undred lo ( with Key Ceres. predict corresp en curiously tencia tam to v al. TB La 2007) guna Titius-Bo con a y ana Ciencias, the of observ P ery Mexico. Astronom 1. p la wn cated cuando Titius the la osition aplicaci´ = tar 2007) Uran bi exp ley INTR nigh de Wor w P gran una THE Since ´ 5218 en (see El The motiv de largest ell y deja atories. ondien predicted onencial Astr TB ≈ within The the ear Univ us, recien t predecimos relation ds: de nos se forma ´ un the ıa, reminiscen ODUCTION 62 brec n of Nieto on da recen en the old onom ated un existence asigne ersidad a (TB) = planetary (55 application planeta EX y ys). Univ Jan ha tes de fiv R a ears. n ha te the fran 5 v . saga The e uestro disco de t ac repro e c Cancri) motiv us una descubrimien This ´ w uary 1972 ıa ersidad eive O-PLANET en a b “predicted” With disco ´ observ la large ıo as y la tic Nacional el AND los tre to y w. disco of t un v TB, en con ley d n ley initiated duce of ery Astr w of propio ado in umero ´ searc the systems 1st, v for a dos 2008 Arcadio W less a gap la s ery v de ed Nacional a of ´ y = eptimo T-B v TB a estigate e and b ery of Titius-Bo p a a planet Aut´ of m ≈ found THE y 0 m´ Titius-Bo 1801, h certain an ma ´ osici´ b ısic of . in F uy w 781 as et la sistema 6 coun Bo 2 exp for ebruary to of onoma the the v ell . at — w jor exp w a al 0 a estigar P bien grandes on de, , planeta de een Ceres A A onencial Aut´ o fifth AR that in planeta v planets with if “the at 44 do ting t v ma- fact semi-axis, onen U ari- U TITIUS-BODE ABSTRA y n eda RESUMEN un this de , de in our c- a , o- los a de ( planetario, y = w Y P 243–246 13; = a planet quin lea si 1 e ≈ con tial 6, (TB). cinco exo-planetary simple = also planetary en p and 0 este SYSTEM and v con 2 . er a ac una 781 es 260 . to un 0 TB ´ a ıo 55 c Graner follo the meaning that TB planets disk bation of planetary view 1975)? CT predict P epte pro empt A ≈ satellites: planeta el sistema b dos semiejes Encon A p atricia situaci´ (2008) d Cancri ound U a exp ´ relation Because semieje er 15 ıas) U la vided early an w d pro the (Graner ´ with ıo observ w y ( of onen tes system, A 2008 a (Ha P do tramos y sub the 1994; a a cess U satellites to on TB ligado of exo-planetario = Lara a sev matter nos del ph the system systems, ma w de y OF a con tial m´ ject = general es 260 p 55 TB ados. e curiosamen to LA F ysical of en p of osition as y relation, descubrimien P ebruary assign 5 p 2 & erio Neslu & ores P . th 55 gro b TB Cancri que ermite dynamical 77 to the a da ≈ 55 grande. W whic efore T Dubrulle of ≈ 55 fits planet of d remaine ys) wing Cancri 1130 their Con A conditions observ relation — una w ˇ san c 62 CANCRI of U previous Jupiter, Cancri h n the hance e some and 26 stars: the predecir ( = is initiated decided (Fisc P a te P menos simple d m 2004)? nos. ˜ se Esta at ´ n orbital ıas 5, still ados ≈ utual reminiscen = a um allo disco 1998; to relaxation 1994)? a a form (Lync repro a (Fisc her = justa 5218 individual 1130 lo Saturn ≈ b de situation ws forma aliv considerations in calizado 5 er relaci´ siempre certeza, to v la . 15 gra 77 et. Is Ceres. a n ery Hills of her duces h us the e d exis- da a c of A debate ´ = ıas) it vitational hec A 2003; no the Is al- on U, de ys and to te et of al U 6 consequence protoplanetary w 1970; in m it k ada ultiple whether a Uran a Dubrulle ab ys. system reflection Ov out p and us enden ertur- Is exo- also 243 the the the in of of & © Copyright 2008: Instituto de Astronomía, Universidad Nacional Autónoma de México (with an sen us serv cen exp ometric the 55 including ma in 55 244 semi-axis v in n w sp TB HR3522 n w recen whose represen n p erified um eculiar Distance Apparen Effectiv Absolute Hipparcos Rotation Luminosit Sp Mass e as = ectiv = T this to ted Cancri jor tral Cancri exp W The The The assigned onen pap ectral ed la able b a −∞ tly 4 e er w. prop a go semi-axis p parameters ely onen b table and er tried star. that erio equation tial ts y co traditional of , = announced e progression o star 1 ordering t , a t d V observ the b PR 2. T an v visual efficien system, yp ose 3. w y HIP visual system less the a y en elo parallax emp = tial ds appro fit n e the e Fisc an planet the OPER exp to THE us This 55 y 0 cit list THE = the to are ear than . classical erature 43587) 4 in exp ed. y magnitude represen a to n her onen magnitude enormous the 5, t + Cancri ximation um some v system: ≈ for 260 existence n also of for of geometric 55 n TIES sin 0 onen TITIUS-BODE (Fisc TB whose according The 1 et T 2 . in b 55 and = disco 3 tial its correlation ABLE er A CANCRI whic i is A da × al. of b Cancri 0 the U Titius-Bo relation U. tial her t a planetary y n v ys . (55 2 OF in found acancy its and . v w (2007). n our h ma an = w . Mercury ery spacing and ell n n fit et of e a parameters 1 um 55 6 . relation Cnc jor exp tried to more system observ fifth planetary al. a for of to 12 SYSTEM b ( a 5218 CANCRI is 2 a R new its left 79 er 0 de semi-axes eac onen . . In the 2007), go system . the 4 5 = 2 in 94 essen 5234 b . LA to planet G8V/K0V than 8   n distance o corresp = la h T et ed at da 0 A   , d w planet HD can largest 0 0 able tial represen Solar w. W . w 5 5 planet. 6 U) . . 0 as the 0 nearb ys. . . 0 5 13 fit.  n een tially 96 47 . tak . . L follo 997) system 5 84 05 km are v 30K =

b Note TB. parsecs 75732 has 2 ery A e running onds en are, mas M System planets Ha the 5 PO U, with ws s y to listed, ma repre- −

when a leads t go Note from b star; ving 1 The and VED een the the the the ob- ge- (1) jor re- o b to = d y a A & w Neptune Uran tem tion serv fit b ditional Solar b of Fig. w n feren presen or of ily the but axis equation ga cury Neptune. up for p LARA um ecause elt, o e e 4. a v or our a (AU) 1 1 2 2 3 3 includes a presen e to c In In If do 0 5 0 5 0 5 0 5 ed Neptune. p , 1. b also hosen THE to of t for us satellite excluding 0 osition a represen captured er w it System Neptune, the t v Figure from An not planetary the n e go alue and orbit predicts a n TB Mercury ( of the plot, (2) = n 1 t o TITIUS-BODE equation exp = to fiv d = ma kno our = its 1, that a R EX Neptune.

of relation do 0 v fit e has −∞ 2 onen = tation ejected giv 9). 1 excludes jor . 2 alue as

giv Our 1 w the = kno pathological in b a O-PLANET es Mercury 0 9 w up n

est e of 0 . orbitals to es = w 1 follo system if 387. semi-axis e Note , tial not and . = 2 wn orbital 3 9 the e of dev the exp 0 plot e to it a 9 the exp S for do . 0 (1) 9. 2 1912 not w o from TB . include the 5 planets is Our the Uran oid l that appro 5 onen ed a 4 Mercury rest 9 in onen The region Uran r = equation 4 an

w n fit close S and only n constan n a AND Figure of Earth. y e from 0 exp Neptune; AR the us, tial s 5 = dynamical of . to ob e orbit, tial ximately 335 exclude traditional t us, 0 e an the v . 1. m the Y Pluto, onen the ject 5594 it to ersus of extrap but y TB V THE 6 fit A b but Note SYSTEM is en v t 2, the ph the (2), ecause U, Solar n planets. alue A but tial from to (0.4) us a giv . the t relation ysical n 7 Pluto a in close olation v 55 outer observ the but correct the , that ( and en ev ery go TB n also of w System. an ma TB the olution is CANCRI e in 8 = o a an Solar other y to d note including meaning, p fit although jor w arbitrar- not for 2) the planets, b relation o ed of case e one giv Kuip the orbital or ecause v 9 to semi- mark up equa- alues Mer- ones only that Sys- This es tra- end one dif- the ob- (2) for its er 1 to a 0 © Copyright 2008: Instituto de Astronomía, Universidad Nacional Autónoma de México to in Fig. Fig. sho the observ of an as a a y 55 n

(AU) n the (AU) 1 1 1 1 wn 0 1 2 3 4 5 6 7 8 9 0 2 4 6 8 0 2 4 6 reasonable more 3. 2. = = 0 0 Cancri, ed as 6. 55 The An 6 * one. a T op corresp Planets M P Observ Y Cancri a distan exp ak 1

erio ear TB en = 1 sin = en R

where 0 R OBSER

onen 2 0 circles. d of . 2 exp

i exp 0 . from =

0 onds ed = (da t 1 (Jo 2 n

disco system. 1

0 4 0 tial 2 planet, 4 onen = . onen 8 semiaxis . w ys) 9 2 vian 9 e Fisc e 9 e 9 5 to VED 0 5 v 0 0 TB 5 7 . 3 . 5 9 coun ery and tial 9 5 n 7 tial

9 a C 8 masses) her

7 3 C 1 5 a fit Note ma n n n a fit n n t PR fit n ma c et n n 4 to the = = c jor r to i r to OPER jor al. i 7, the that 4 5 the semi-axis 55 farthest the predicted 2007. falls (A 5 four 5 CANCRI the U) 4 TIES observ 5 closest v closest 6 ery extrap observ  close  b OF 1 ed  y 1 far . 0 0 2 0 6 2004 0 planets × TB, AND 7 . . . planets planets . olation × 038 034 817 ed 1 0036 to THE 10 from 10 one the are − T − 4 7 8 THE 6 ABLE 55  CANCRI  1 TITIUS-BODE  7 . 14 sho close ma planets this with one, ( that has Cancri one other the planet planetary planets ets nen the assumed 0 0 1 2 1996 × 0 n . . × . 115 824 . 2 651 007 10 = jor ws The This Ha In This The In tial of 10 ma Titius-Bo not at relation no it − an 1 to − exo-planetary ving 4 55 the , the semi-axes T at a jor EX w 6 is system 2 Titius-Bo b for predicted Titius-Bo a able exp a the a , fit equation ≈ een that Titius-Bo a Cancri due o 3 ≈ = b ≈ O-PLANET semi-axis system presen , ccup  ≈ 15 the est is found  onen 4). 15 observ 0 4 2002 to disco 3  7 2 de 2 44 . . to 0 it 5 0142 A . . 0 LA as × fit 0 0 0 . A ying 55 w Ho n . . × 169 U. . 3 5. 24 344 tial o la 008 of c U e t 10 and A A de de w = W hance. ccupies (1) for 10 v b w “predicts” w 55 Cancri another ed U U de pap CONCLUSIONS list the ered, and, − ell y ev − 6 la of orbital systems la w 3 is the the e 5 that Cancri, v ( w e er, w as 0 AR er the a v first alue la the . 9975 see alid with holds allo and ≈ w distribution the  Titius-Bo if w  Y the 0 0 system:  2007 fifth 260 its 0 . . 5 e 0 P that n planetary observ four 781 144 w 4 . 1 ( n ws SYSTEM P . is . mak 007 a TB . 04 24 w as um less sho e the 1 sixth ≈ extrap and for e ≈ = ( assume us planet, v w R A planets fit b the w es alid fit 62 3 certain 5 ell. existence er U) 2 to ed the ed . . 2002 de 1 the 77 ma it orbital. =   and 3  5218 y extrap 6. 5 predict olation y . turns 0 0 ears of elemen . that 835 230 rather 5 * 0 4 la 77 ears y A . . system for first 08 11 . that pro (2) 997) w. the U). closest and t the b y e , vided the olation out the a 4 of observ v Figure t planet t ts the unlik fits alid sev w w planets a where o o exp of to plan- en fifth fifth exo- new new w it 245 (3) ely for b ed ell 55 th o- of is 5 3 e © Copyright 2008: Instituto de Astronomía, Universidad Nacional Autónoma de México 1 understand against 246 planetary Arcadio signals predicted P ph new , atricia 2), ysics cuito The 04510 The P Titius-Bo Observ planets erio in THE in the existence b d P Lara: this v Exterior ehind M ed system p alidit o the (da v erio phenomenon ´ exico, the de eda: semiaxis b TITIUS-BODE ys) system y radial F ds. (A y it. pa acultad p n do of U) Instituto ersistence of S/N, ying D. Ho t es w v ma TB F. op w elo o not ev sp Ciudad hot ens jor Mexico de cities of er, ecial y for de et (A Jupiter-lik Ciencias, planet the of it FIT help U) Astronom at the atten ma the Univ (p problem v TO y to alues o migration.   Titius-Bo 55 v help tion ersitaria, 1 1 [email protected]). understand 0 0.039 2.817 Univ e × × THE . 038 1 Cancri planets ´ ıa, 10 10 close to to of ersidad − − Univ 4 6 55 p disco ho PO de erio to 04510 CANCRI w (  exo- n  ersidad VED la the the v dic 1 T 7 to er . 14.651 = w Nacional 0 0.104 1 ABLE × . × 115 2 M A 10 10 ´ exico, − & Nacional − 4 SYSTEM 6 Dubrulle, Fisc Ov Nieto Graner, Ha Hills, Neslu 3 LARA Aut´ y enden, D. Distances: Press) ph/07123917)  es, her,  4 ˇ san, J. onoma 7 M. 44.344 . F. 0.283 5 W., 0 × Aut´ F., G. . × 3 D. 24 Mexico AND B., 10 M. M. L. 10 & 1970, & onoma − 2004, A., − W. & 3 de 1972, Its T Dubrulle, 5 remaine, THE Graner, History M 1975, et Nature, (path  MNRAS, REFERENCES ´ 0 0.768 exico,  The de 260 0 . al. 781 4 . 1 007 TW . Vistas 1 M B. F. S. 6@y 2007, and Titius-Bo 225, ´ exico, O Av. 1998, 1994, 1994, 1130 351, 2.08 aho Theory NEW in 5 840 Univ ApJ, Astron., Ap o.com). Icarus, A&A, A&A, 133 de PLANETS do. ersidad  (Oxford: 5.643  5218 5 submitted La 0 . 230 6 77 . 282, 282, 11 P w 135, 18, ostal of 269 262 3000, 473 22530 549 P Planetary 15.3 ergamon 70-264, 7 (astro- Cir-