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7/30/2019 The Mathematical Construction of Newton's Gravitational Constant
http://slidepdf.com/reader/full/the-mathematical-construction-of-newtons-gravitational-constant 1/3
Ymk betmkbetn`el `ojstru`tnoj of Jkwtoj's Arevntetnojel @ojstejtCy Hok Jemmes 6tm areik 5>174 hokjemmes5>;=Gyemoo.`ob
Arkktnjas8 By jebk ns Hok Jemmes foujikr of rkel tnbk pmysn`s eji estrojoby
Ecstre`t8 Jkwtoj's arevntetnojel `ojstejt ns e fn`tnojel `ojstejt eji ns lndk ell wkstkrj
`nvnlnzetnoj ;77 ykers of fn`tnoj jebki boikrj + Jockl Wrnzk wnjjkr pmysn`el s`nkj`ks of;777 pmysn`s lews of fn`tnojel ujnvkrsk 2 5/ fn`tnojel etob `ojstejts teuamt cy ;7,777,777
borojs nj profkssor sunts wntm WmI's eji Jockl Wrnzks `ebk ecout cy Sobej tmkoloay ofKertm ns tmk `kjtrk of tmk [jnvkrsk tmet proarksski cy Sobej @etmoln`s tmkoloay of Kertm
bovnja erouji tmk Puj stetki cy Sobej @etmoln`s `mur`m estroloakrs, Jn`oleus@opkrjn`us, Yy`o Cremk eji Dkplkr eji wrnttkj nj e "moly" betmkbetn`el forb to ck
`mejaki nj e Soyel betmkbetn`el forb wrnttkj cy Jkwtoj wmkj tmk Soyels outaujjki tmk"moly" eji beik `urrn`ulub cy "profkssor" nj jkki of Hocs to ck soli to dnis nj e `lessroob.
Nf wk tood e lood et tmk bost febous pmysn`s fujiebkjtel `ojstejt djowj es Jkwtoj'sarevntetnojel `ojstejt A frob Jkwtoj's 0;7 ykers oli Kquetnoj F 2 - A b B/r³, A„s velukmes ujnt inbkjsnoj of TAR 2 T5/υ Y³R4 υ ns ikjsnty eji Y ns tnbk. A 2 6.610=9 x 57 - 554 +/-
7.777=74 JNPY iete
Weak 5
7/30/2019 The Mathematical Construction of Newton's Gravitational Constant
http://slidepdf.com/reader/full/the-mathematical-construction-of-newtons-gravitational-constant 2/3
Kffk`t of tkbpkreturk oj propkrtnks of enr
Ykbpkreturk
nj ·@
Ppkki of souji `
nj b±s∓Ikjsnty of enr
nj da±b∓
E`oustn`
nbpkiej`k nj
J±s±b∓
5 +0; 0;5.== 5.59;; 970.33 +07 09>.73 5.5699 976.;
0 +3; 096.50 5.5=0> 97>.9
9 +37 090.35 5.3795 950.0
; +5; 097.31 5.33;7 956.>
6 +57 001.05 5.3966 937.;
1 +; 009.03 5.36>7 939.0
= 7 005.07 5.3>33 93=.7
> ∓; 03=.3; 5.0560 903.5
57 ∓57 03;.5= 5.0950 906.5
55 ∓5; 033.71 5.0610 997.0
53 ∓37 05=.>9 5.0>90 999.6
50 ∓3; 05;.11 5.9339 99>.5
Pke lkvkl +5; 097.31 5.33;7 956.>
Jkwtoj's kquetnoj8 F 2 A b B/r34A 2 6.610=9 x 57 -554 A wes bkesurki cy Mkjry @evkjinsm. (3759 JNPY Veluk)
Jkwtoj's kquetnoj mes ujnt inbkjsnojs8 TFR 2 TAR TbR TBR/TrR 3
TFR 2 Dnloareb - bktkr/ (sk`oji) 3 2 TAR (dnloareb) (dnloareb)/ (bktkr) 3
@ej`kl cy dnloareb frob cotm sniks8 Bktkr/ (sk`oji) 3 2 TAR dnloareb / (bktkr) 3
A mes ujnt inbkjsnojs8 TAR 2 T(bktkr) 0 / (sk`oji) 3R dnloareb
Dnloareb 2 bess 2 ikjsnty x volubk 2 υ (ikjsnty) x volubk Volubk of e spmkrk V 2 (9 χ/ 0) r 0
Volubk ujnt inbkjsnojs8 TVR 2 (bktkr) 0
TBessR 2 dnloareb 2 TυR (bktkr) 0
TAR 2 T(bktkr) 0 / (sk`oji) 3R dnloareb 2 T(bktkr) 0 / (sk`oji) 3R/ TυR (bktkr) 0 TAR 2 5/ TυR (sk`oji) 3
A 2 E/ υ Y Kertm bovks nj 31.035 ieys (Booj pkrnoi) eji essnajki 06;.3;6 ieys (Puj's pkrnoi)
06;.3;6/31.035 2 50.06>7;61150.06>7;611 - 50 (full `y`lks) 2 7.06>7;611Ymk ertnfe`t ns tmk squerk root of 7.06>7;611 2 7.671;7793= (Dkplkr s lew of tnbk squerki)
Bkejnja8 kvkrytmnja bkesurki `obks bultnplnki cy 7.671;7793= 31.035/3 250.667; (Estrojobn`el ² `y`lks)4 50.667; - 50 2 7.667; Bkejnja8 kvkrytmnja bkesurki `obks vnsuelly es 7.667; pkr`kjteaksPyj`mrojous8 5/06;.3;6 2 7.773101=765 + 7.773101=76 2 5.773101=76
=6977 /5.773101=76 2 =6569.7>>90
Or 31.035 - (31) 2 7.0354 7.035 / 06;.3;6 2 7.777=1==06 Weak 3
7/30/2019 The Mathematical Construction of Newton's Gravitational Constant
http://slidepdf.com/reader/full/the-mathematical-construction-of-newtons-gravitational-constant 3/3
Wmysn`s bkesurkbkjts `obks wntm es 7.777=1==06 nj`rkbkjt or bultnplnki cy 5 +
7.777=1==06
@ucn` root of (bess `ojsnikretnoj or instej`k `ucki frob Dkplkr's lew) of (5 +
7.777=1==06) 2 5.7773>3=;> 2 5.7773>0 enr njikx of rkfre`tnojNj arevntetnojel iete (; ik`nbel ponjts)8 7.671;7793= 2 7.671;
Ynbk Vnsuel pkr`kjteak Bkesurki pkr`kjteak Njikx Ynbk krror=6569.7>>90 7.667; 7.671; 5.7773>0 5.773101=76
Pke lkvkl enr
ikjsnty+5; 097.31 5.33;7 956.>
A 2 7.671;/ (5.33;) (=6569.7>>90)3 (5.7773>0) 0 2 6.610=9 x 57 -55
A 2 7.671;/υ enr Y3 spnj j enr0
A 2 6.610=9 x 57 -554 A wes bkesurki cy Mkjry @evkjinsm. (3759 JNPY Veluk)
E 2 o.671;/ (5.7773>0) 0
Ejauler vklo`nty 2 3χ/ Y reinej pkr Y sk`ojis4 Y 2 =1.>6 x =6977
Ejauler vklo`nty nj ikarkks pkr Y sk`ojis 2 (3χ/ Y) (5=7/ χ)
Ejauler vklo`nty nj er` sk`ojis pkr Y sk`ojis 2 (3χ/ Y) (5=7/ χ) (0677) Ejauler vklo`nty nj er` sk`ojis pkr 5 yker 2 (3χ/ Y) (5=7/ χ) (0677) (06;.3;6/=1.>6) Ejauler vklo`nty nj er` sk`ojis pkr 577 ykers (`kjtury)
2 (3χ/ Y) (5=7/ χ) (0677) (01;.3;6/=1.>6) (577)
2 (3χ/ =1.>6 x =6977) (5=7/ χ) (0677) (06;.3;6/=1.>6) (577)2 17.=50=9;76 er` sk`ojis pkr `kjtury
(17.=50=9;76) (7.671;) 2 90 er` sk`ojis pkr `kjtury A wes bkesurki cy Mkjry @evkjinsm. (3759 JNPY Veluk)
Weak 0Ell Snamts Skskrvki