X-Received: by 2002:a05:620a:14f:b0:76d:880e:136b with SMTP id e15-20020a05620a014f00b0076d880e136bmr98qkn.0.1692383015446; Fri, 18 Aug 2023 11:23:35 -0700 (PDT) X-Received: by 2002:a05:6a00:15d3:b0:687:26bc:6377 with SMTP id o19-20020a056a0015d300b0068726bc6377mr1536055pfu.3.1692383014956; Fri, 18 Aug 2023 11:23:34 -0700 (PDT) Path: ...!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail Newsgroups: fr.sci.physique Date: Fri, 18 Aug 2023 11:23:34 -0700 (PDT) In-Reply-To: Injection-Info: google-groups.googlegroups.com; posting-host=2001:861:8bb7:5500:288a:3d39:d86c:b96c; posting-account=PKzfqAoAAAC4-vQRW_wt6WFB3xnoeWfi NNTP-Posting-Host: 2001:861:8bb7:5500:288a:3d39:d86c:b96c References: User-Agent: G2/1.0 MIME-Version: 1.0 Message-ID: <3e03ade9-494c-4546-87f9-9e63ee56b4dcn@googlegroups.com> Subject: Re: Transformations relativistes circulaires From: Richard Verret Injection-Date: Fri, 18 Aug 2023 18:23:35 +0000 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Bytes: 2140 Lines: 17 Le vendredi 18 ao=C3=BBt 2023 =C3=A0 18:52:26 UTC+2, Richard Hachel a =C3= =A9crit=C2=A0: > Le 18/08/2023 =C3=A0 18:30, Richard Verret a =C3=A9crit :=20 > > Ce qui fait qu=E2=80=99on retrouve l=E2=80=99addition des vitesses de l= a relativit=C3=A9, avec=20 > > les vitesses perceptibles, il suffit de calculer sh y2 on obtient v2 = =3D... mais je=20 > > vous laisse faire le calcul. > Tu as fait les calculs en prenant la base des vitesses r=C3=A9elles?=20 Les formules d=E2=80=99addition des vitesses r=C3=A9elles et apparentes s= =E2=80=99obtiennent ainsi: on a y2 =3D y1 + y2/1 d=E2=80=99o=C3=B9=20 sh y2 =3D sh (y1 + y2/1) =3D sh y1 * ch y2/1 + ch y1 sh y2/1 et th y2 =3D (th y1 + th y2/1)/(1 + th y1 * th y2/1). Comme y =3D arsh v/c =3D arth Vp/c, on trouve ais=C3=A9ment les formules. Pour les vitesses apparentes on obtient: th arth Vp,2 =3D Vp,2 =3D (Vp,1 + Vp,2/1)/(1 + Vp,1*Vp,2/1)