{"id":"vidhyamitra:city-day:rishikesh:-3101-02-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/-3101-02-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-02-01","date_display":"February 1, 3102 BCE","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":-3101,"month":2,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588448.770833,"kali_year":0,"ahargana":-16.7292,"sun":{"sidereal_longitude":345.8812,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":134.1366,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.2554,"elapsed_within_tithi_degrees":4.2554},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.1366,"elapsed_within_degrees":0.8033},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.0178},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3101,"month":2,"day":1,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588448.770833,"ahargana":-16.7292,"kali_year":0,"ayanamsa_lahiri":-47.4035,"grahas":{"sun":{"sidereal_longitude":345.8812,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":134.1366,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":-3.2761},"mars":{"sidereal_longitude":352.6896,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":326.951,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":357.4078,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":340.28,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":350.5194,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":180.8864,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.8864,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":-3101,"month":2,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588448.770833,"kali_year":0,"ahargana":-16.7292,"sun":{"sidereal_longitude":345.8812,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":134.1366,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.2554,"elapsed_within_tithi_degrees":4.2554},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.1366,"elapsed_within_degrees":0.8033},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.0178},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.276,"elongation":148.255},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.276,"opposition_distance":31.745}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:16","sunsetLocal":"17:45","solarNoonLocal":"12:31","dayLengthHours":10.475278375443061,"dayLengthDisplay":"10 Hours 28 Mins 31 Secs","nightLengthDisplay":"13 Hours 31 Mins 29 Secs","moonriseLocal":"15:23","moonsetLocal":"05:25","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:26","startHours":15.12913539581736,"endHours":16.438545192747743,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:53","end":"11:12","startHours":9.89149620809583,"endHours":11.200906005026212,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:49","startHours":12.510315801956594,"endHours":13.819725598886977,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:04","startHours":9.716908235171779,"endHours":10.06608418101988,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:43","end":"07:59","startHours":7.709146546545192,"endHours":7.988487303223674,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:10","end":"12:52","startHours":12.161139856108491,"endHours":12.859491747804697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:53","end":"06:34","startHours":5.875972830842656,"endHours":6.574324722538861,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:24","end":"07:16","startHours":6.399736749614809,"endHours":7.272676614235064,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.256195531197104,"endHours":14.954547422893308,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.547954989678125,"endHours":17.947954989678124,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:11","startHours":17.747954989678124,"endHours":18.184424921988253,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.497954989678124,"endHours":19.247954989678124,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:10","end":"00:52","startHours":24.16113985610849,"endHours":24.859491747804697,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:16","end":"08:35","startHours":7.272676614235064,"endHours":8.582086411165447,"quality":"inauspicious"},{"name":"Udveg","start":"08:35","end":"09:53","startHours":8.582086411165447,"endHours":9.89149620809583,"quality":"inauspicious"},{"name":"Chala","start":"09:53","end":"11:12","startHours":9.89149620809583,"endHours":11.200906005026212,"quality":"neutral"},{"name":"Labha","start":"11:12","end":"12:31","startHours":11.200906005026212,"endHours":12.510315801956594,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:49","startHours":12.510315801956594,"endHours":13.819725598886977,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:08","startHours":13.819725598886977,"endHours":15.12913539581736,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:26","startHours":15.12913539581736,"endHours":16.438545192747743,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:45","startHours":16.438545192747743,"endHours":17.747954989678124,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:26","startHours":17.747954989678124,"endHours":19.438545192747743,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:08","startHours":19.438545192747743,"endHours":21.129135395817357,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:49","startHours":21.129135395817357,"endHours":22.819725598886976,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:31","startHours":22.819725598886976,"endHours":24.510315801956594,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:12","startHours":24.510315801956594,"endHours":26.200906005026212,"quality":"neutral"},{"name":"Labha","start":"02:12","end":"03:53","startHours":26.200906005026212,"endHours":27.89149620809583,"quality":"auspicious"},{"name":"Amṛta","start":"03:53","end":"05:35","startHours":27.89149620809583,"endHours":29.582086411165445,"quality":"auspicious"},{"name":"Kāla","start":"05:35","end":"07:16","startHours":29.582086411165445,"endHours":31.272676614235063,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.272676614235064,"endHours":8.272676614235063,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.272676614235063,"endHours":9.272676614235063,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.272676614235063,"endHours":10.272676614235063,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.272676614235063,"endHours":11.272676614235063,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.272676614235063,"endHours":12.272676614235063,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.272676614235063,"endHours":13.272676614235063,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.272676614235063,"endHours":14.272676614235063,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.272676614235063,"endHours":15.272676614235063,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.272676614235063,"endHours":16.272676614235063,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.272676614235063,"endHours":17.272676614235063,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.272676614235063,"endHours":18.272676614235063,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.272676614235063,"endHours":19.272676614235063,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.272676614235063,"endHours":20.272676614235063,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.272676614235063,"endHours":21.272676614235063,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.272676614235063,"endHours":22.272676614235063,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.272676614235063,"endHours":23.272676614235063,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.272676614235063,"endHours":24.272676614235063,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.272676614235063,"endHours":25.272676614235063,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.272676614235063,"endHours":26.272676614235063,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.272676614235063,"endHours":27.272676614235063,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.272676614235063,"endHours":28.272676614235063,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.272676614235063,"endHours":29.272676614235063,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.272676614235063,"endHours":30.272676614235063,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.272676614235063,"endHours":31.272676614235063,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.46333631823283,"eotMinutes":-13.689348117395623,"ayanamsa":-47.4035}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Trayodaśī · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga February 1, 3102 BCE · Ṛṣikeśa · Vidhyamitra","description":"February 1, 3102 BCE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:16, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/-3101-02-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/-3101-02-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/-3101-02-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/-3101-02-01","x-default":"https://vidhyamitra.com/city/rishikesh/-3101-02-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T10:04:05.706Z","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":"2026-05-17T10:04:05.706Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T10:04:05.706Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}