{"id":"vidhyamitra:city-day:rishikesh:-3101-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/-3101-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-01-10","date_display":"January 10, 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":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588426.770833,"kali_year":0,"ahargana":-38.7292,"sun":{"sidereal_longitude":324.0102,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":206.0049,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.9947,"elapsed_within_tithi_degrees":1.9947},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.0049,"elapsed_within_degrees":6.0049},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.0151},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588426.770833,"ahargana":-38.7292,"kali_year":0,"ayanamsa_lahiri":-47.4043,"grahas":{"sun":{"sidereal_longitude":324.0102,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":206.0049,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":1.8254},"mars":{"sidereal_longitude":335.7601,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":295.438,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":352.2955,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":312.7415,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":347.6867,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":182.0521,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.0521,"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":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588426.770833,"kali_year":0,"ahargana":-38.7292,"sun":{"sidereal_longitude":324.0102,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":206.0049,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":241.9947,"elapsed_within_tithi_degrees":1.9947},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":206.0049,"elapsed_within_degrees":6.0049},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.0151},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.825,"elongation":118.005},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.825,"opposition_distance":61.995}},"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":"07:18","sunsetLocal":"17:31","solarNoonLocal":"12:24","dayLengthHours":10.220077964122542,"dayLengthDisplay":"10 Hours 13 Mins 12 Secs","nightLengthDisplay":"13 Hours 46 Mins 48 Secs","moonriseLocal":"22:10","moonsetLocal":"10:55","rahuKala":{"name":"Rāhu Kāla","start":"08:34","end":"09:51","startHours":8.57461949386348,"endHours":9.852129239378797,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:24","startHours":11.129638984894116,"endHours":12.407148730409434,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:41","end":"14:58","startHours":13.684658475924751,"endHours":14.96216822144007,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:01","startHours":9.681794606643422,"endHours":10.022463872114173,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:43","end":"08:00","startHours":7.722946330186602,"endHours":7.995481742563203,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:45","startHours":12.066479464938682,"endHours":12.747817995880185,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:56","end":"06:37","startHours":5.934432686465158,"endHours":6.61577121740666,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:27","end":"07:18","startHours":6.445436584671285,"endHours":7.297109748348163,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:48","startHours":14.11049505776319,"endHours":14.791833588704693,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:19","end":"17:43","startHours":17.317187712470705,"endHours":17.717187712470704,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:31","end":"17:57","startHours":17.517187712470704,"endHours":17.943024294309144,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:16","end":"19:01","startHours":17.267187712470704,"endHours":19.017187712470704,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:45","startHours":24.06647946493868,"endHours":24.747817995880183,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:18","end":"08:34","startHours":7.297109748348163,"endHours":8.57461949386348,"quality":"auspicious"},{"name":"Kāla","start":"08:34","end":"09:51","startHours":8.57461949386348,"endHours":9.852129239378797,"quality":"inauspicious"},{"name":"Śubha","start":"09:51","end":"11:08","startHours":9.852129239378797,"endHours":11.129638984894116,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:24","startHours":11.129638984894116,"endHours":12.407148730409434,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:41","startHours":12.407148730409434,"endHours":13.684658475924751,"quality":"inauspicious"},{"name":"Chala","start":"13:41","end":"14:58","startHours":13.684658475924751,"endHours":14.96216822144007,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:14","startHours":14.96216822144007,"endHours":16.239677966955387,"quality":"auspicious"},{"name":"Amṛta","start":"16:14","end":"17:31","startHours":16.239677966955387,"endHours":17.517187712470704,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:31","end":"19:14","startHours":17.517187712470704,"endHours":19.239677966955387,"quality":"neutral"},{"name":"Labha","start":"19:14","end":"20:58","startHours":19.239677966955387,"endHours":20.96216822144007,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:41","startHours":20.96216822144007,"endHours":22.68465847592475,"quality":"auspicious"},{"name":"Kāla","start":"22:41","end":"00:24","startHours":22.68465847592475,"endHours":24.407148730409432,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:08","startHours":24.407148730409432,"endHours":26.129638984894115,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:51","startHours":26.129638984894115,"endHours":27.852129239378797,"quality":"inauspicious"},{"name":"Udveg","start":"03:51","end":"05:34","startHours":27.852129239378797,"endHours":29.57461949386348,"quality":"inauspicious"},{"name":"Chala","start":"05:34","end":"07:18","startHours":29.57461949386348,"endHours":31.297109748348163,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:18","end":"08:18","startHours":7.297109748348163,"endHours":8.297109748348163,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:18","end":"09:18","startHours":8.297109748348163,"endHours":9.297109748348163,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:18","end":"10:18","startHours":9.297109748348163,"endHours":10.297109748348163,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:18","end":"11:18","startHours":10.297109748348163,"endHours":11.297109748348163,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:18","end":"12:18","startHours":11.297109748348163,"endHours":12.297109748348163,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:18","end":"13:18","startHours":12.297109748348163,"endHours":13.297109748348163,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:18","end":"14:18","startHours":13.297109748348163,"endHours":14.297109748348163,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:18","end":"15:18","startHours":14.297109748348163,"endHours":15.297109748348163,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:18","end":"16:18","startHours":15.297109748348163,"endHours":16.297109748348163,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:18","end":"17:18","startHours":16.297109748348163,"endHours":17.297109748348163,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:18","end":"18:18","startHours":17.297109748348163,"endHours":18.297109748348163,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:18","end":"19:18","startHours":18.297109748348163,"endHours":19.297109748348163,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:18","end":"20:18","startHours":19.297109748348163,"endHours":20.297109748348163,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:18","end":"21:18","startHours":20.297109748348163,"endHours":21.297109748348163,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:18","end":"22:18","startHours":21.297109748348163,"endHours":22.297109748348163,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:18","end":"23:18","startHours":22.297109748348163,"endHours":23.297109748348163,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:18","end":"00:18","startHours":23.297109748348163,"endHours":24.297109748348163,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:18","end":"01:18","startHours":24.297109748348163,"endHours":25.297109748348163,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:18","end":"02:18","startHours":25.297109748348163,"endHours":26.297109748348163,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:18","end":"03:18","startHours":26.297109748348163,"endHours":27.297109748348163,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:18","end":"04:18","startHours":27.297109748348163,"endHours":28.297109748348163,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:18","end":"05:18","startHours":28.297109748348163,"endHours":29.297109748348163,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:18","end":"06:18","startHours":29.297109748348163,"endHours":30.297109748348163,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:18","end":"07:18","startHours":30.297109748348163,"endHours":31.297109748348163,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","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":-23.271704842567505,"eotMinutes":-7.499323824565993,"ayanamsa":-47.4043}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Ṣaṣṭhī · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 January 10, 3102 BCE · Ṛṣikeśa · Vidhyamitra","description":"January 10, 3102 BCE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:18, sūryāsta 17:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/-3101-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/-3101-01-10","sa":"https://sa.vidhyamitra.com/city/rishikesh/-3101-01-10","hi":"https://hi.vidhyamitra.com/city/rishikesh/-3101-01-10","x-default":"https://vidhyamitra.com/city/rishikesh/-3101-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T15:16:37.513Z","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":"2026-05-24T15:16:37.513Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T15:16:37.513Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}