{"id":"vidhyamitra:city-day:mathura:2000-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2000-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2000-10-04","date_display":"October 4, 2000 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451821.770833,"kali_year":5102,"ahargana":1863356.2708,"sun":{"sidereal_longitude":166.5171,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.7042,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.1872,"elapsed_within_tithi_degrees":3.1872},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.7042,"elapsed_within_degrees":1.7042},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.2213},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2000,"month":10,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2451821.770833,"ahargana":1863356.2708,"kali_year":5102,"ayanamsa_lahiri":23.8636,"grahas":{"sun":{"sidereal_longitude":167.26453600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":241.81933600000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":2.1602},"mars":{"sidereal_longitude":136.794036,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":192.612436,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":47.30103600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":197.625136,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":36.62553600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":90.4177,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":270.4177,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2000,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2451821.770833,"kali_year":5102,"ahargana":1863356.2708,"sun":{"sidereal_longitude":166.5171,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":241.7042,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.1872,"elapsed_within_tithi_degrees":3.1872},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":241.7042,"elapsed_within_degrees":1.7042},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.2213},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.16,"elongation":75.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.16,"opposition_distance":104.813}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:13","sunsetLocal":"18:02","solarNoonLocal":"12:07","dayLengthHours":11.819473289869215,"dayLengthDisplay":"11 Hours 49 Mins 10 Secs","nightLengthDisplay":"12 Hours 10 Mins 50 Secs","moonriseLocal":"11:54","moonsetLocal":"22:16","rahuKala":{"name":"Rāhu Kāla","start":"12:07","end":"13:36","startHours":12.120135613538498,"endHours":13.59756977477215,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:41","end":"09:10","startHours":7.687833129837542,"endHours":9.165267291071194,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:07","startHours":10.642701452304845,"endHours":12.120135613538498,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.968276069573374,"endHours":9.362258512569014,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:01","startHours":6.70287702234844,"endHours":7.018062976744953,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:31","startHours":11.726153170542856,"endHours":12.514118056534139,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:25","startHours":4.634469196621328,"endHours":5.422434082612609,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:13","startHours":5.2254428611147885,"endHours":6.21039896860389,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.090047828516699,"endHours":14.87801271450798,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.829872258473106,"endHours":18.229872258473105,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:31","startHours":18.029872258473105,"endHours":18.522350312217657,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.779872258473105,"endHours":19.529872258473105,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:31","startHours":23.726153170542858,"endHours":24.514118056534137,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:13","end":"07:41","startHours":6.21039896860389,"endHours":7.687833129837542,"quality":"auspicious"},{"name":"Amṛta","start":"07:41","end":"09:10","startHours":7.687833129837542,"endHours":9.165267291071194,"quality":"auspicious"},{"name":"Kāla","start":"09:10","end":"10:39","startHours":9.165267291071194,"endHours":10.642701452304845,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:07","startHours":10.642701452304845,"endHours":12.120135613538498,"quality":"auspicious"},{"name":"Roga","start":"12:07","end":"13:36","startHours":12.120135613538498,"endHours":13.59756977477215,"quality":"inauspicious"},{"name":"Udveg","start":"13:36","end":"15:05","startHours":13.59756977477215,"endHours":15.075003936005801,"quality":"inauspicious"},{"name":"Chala","start":"15:05","end":"16:33","startHours":15.075003936005801,"endHours":16.552438097239452,"quality":"neutral"},{"name":"Labha","start":"16:33","end":"18:02","startHours":16.552438097239452,"endHours":18.029872258473105,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:02","end":"19:33","startHours":18.029872258473105,"endHours":19.552438097239452,"quality":"inauspicious"},{"name":"Chala","start":"19:33","end":"21:05","startHours":19.552438097239452,"endHours":21.0750039360058,"quality":"neutral"},{"name":"Labha","start":"21:05","end":"22:36","startHours":21.0750039360058,"endHours":22.59756977477215,"quality":"auspicious"},{"name":"Amṛta","start":"22:36","end":"00:07","startHours":22.59756977477215,"endHours":24.120135613538498,"quality":"auspicious"},{"name":"Kāla","start":"00:07","end":"01:39","startHours":24.120135613538498,"endHours":25.642701452304845,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:10","startHours":25.642701452304845,"endHours":27.165267291071196,"quality":"auspicious"},{"name":"Roga","start":"03:10","end":"04:41","startHours":27.165267291071196,"endHours":28.687833129837543,"quality":"inauspicious"},{"name":"Udveg","start":"04:41","end":"06:13","startHours":28.687833129837543,"endHours":30.21039896860389,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.21039896860389,"endHours":7.21039896860389,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.21039896860389,"endHours":8.21039896860389,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.21039896860389,"endHours":9.21039896860389,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.21039896860389,"endHours":10.21039896860389,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.21039896860389,"endHours":11.21039896860389,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.21039896860389,"endHours":12.21039896860389,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.21039896860389,"endHours":13.21039896860389,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.21039896860389,"endHours":14.21039896860389,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.21039896860389,"endHours":15.21039896860389,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.21039896860389,"endHours":16.21039896860389,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.21039896860389,"endHours":17.21039896860389,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.21039896860389,"endHours":18.21039896860389,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.21039896860389,"endHours":19.21039896860389,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.21039896860389,"endHours":20.21039896860389,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.21039896860389,"endHours":21.21039896860389,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.21039896860389,"endHours":22.21039896860389,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.21039896860389,"endHours":23.21039896860389,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.21039896860389,"endHours":24.21039896860389,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.21039896860389,"endHours":25.21039896860389,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.21039896860389,"endHours":26.21039896860389,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.21039896860389,"endHours":27.21039896860389,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.21039896860389,"endHours":28.21039896860389,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.21039896860389,"endHours":29.21039896860389,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.21039896860389,"endHours":30.21039896860389,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-4.402577732759281,"eotMinutes":12.09706318769023,"ayanamsa":23.8636}},"calendars":{"vikram_samvat":2057,"vikram_samvatsara":"Vijaya","saka_samvat":1922,"saka_samvatsara":"Vikrama","bengali_samvat":1407,"malayalam_era":1176,"nanakshahi_year":531,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Saptamī · Vikram 2057 Vijaya · Śaka 1922 Vikrama"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 4, 2000 CE · Mathurā · Vidhyamitra","description":"October 4, 2000 CE for Mathurā: Śukla Saptamī, sūryodaya 06:13, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2000-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2000-10-04","sa":"https://sa.vidhyamitra.com/city/mathura/2000-10-04","hi":"https://hi.vidhyamitra.com/city/mathura/2000-10-04","x-default":"https://vidhyamitra.com/city/mathura/2000-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:26:06.964Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T16:26:06.964Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:26:06.964Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}