{"id":"vidhyamitra:city-day:rishikesh:2121-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-09","date_display":"January 9, 2121 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":2121,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495747.770833,"kali_year":5222,"ahargana":1907282.2708,"sun":{"sidereal_longitude":262.7048,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":143.4657,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.761,"elapsed_within_tithi_degrees":0.761},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.4657,"elapsed_within_degrees":10.1324},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.1705},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2121,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495747.770833,"ahargana":1907282.2708,"kali_year":5222,"ayanamsa_lahiri":25.5436,"grahas":{"sun":{"sidereal_longitude":263.16784000000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":140.07754,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":-2.9183},"mars":{"sidereal_longitude":122.72363999999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.5153399999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":88.36043999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":305.42743999999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":62.35244,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":283.0068,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":103.0068,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":2121,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495747.770833,"kali_year":5222,"ahargana":1907282.2708,"sun":{"sidereal_longitude":262.7048,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":143.4657,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":240.761,"elapsed_within_tithi_degrees":0.761},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.4657,"elapsed_within_degrees":10.1324},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":46.1705},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.918,"elongation":119.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.918,"opposition_distance":60.761}},"eclipse_window_40days":[{"offset_days":10,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"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":"07:14","sunsetLocal":"17:34","solarNoonLocal":"12:24","dayLengthHours":10.325223120277577,"dayLengthDisplay":"10 Hours 19 Mins 31 Secs","nightLengthDisplay":"13 Hours 40 Mins 29 Secs","moonriseLocal":"21:56","moonsetLocal":"10:28","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"14:59","startHours":13.691217728674339,"endHours":14.981870618709035,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:32","startHours":7.237953278500853,"endHours":8.52860616853555,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:07","startHours":9.819259058570246,"endHours":11.109911948604944,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.64717200656562,"endHours":9.991346110574874,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.668170908512418,"endHours":7.94351019171982,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.056390734630389,"endHours":12.744738942648896,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.861256862463843,"endHours":6.549605070482348,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.377518018477721,"endHours":7.237953278500853,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.121435358685904,"endHours":14.809783566704409,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.36317639877843,"endHours":17.76317639877843,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:00","startHours":17.56317639877843,"endHours":17.993394028789996,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.31317639877843,"endHours":19.06317639877843,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.05639073463039,"endHours":24.744738942648894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:32","startHours":7.237953278500853,"endHours":8.52860616853555,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:49","startHours":8.52860616853555,"endHours":9.819259058570246,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:07","startHours":9.819259058570246,"endHours":11.109911948604944,"quality":"inauspicious"},{"name":"Chala","start":"11:07","end":"12:24","startHours":11.109911948604944,"endHours":12.400564838639642,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:41","startHours":12.400564838639642,"endHours":13.691217728674339,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"14:59","startHours":13.691217728674339,"endHours":14.981870618709035,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:16","startHours":14.981870618709035,"endHours":16.272523508743735,"quality":"inauspicious"},{"name":"Śubha","start":"16:16","end":"17:34","startHours":16.272523508743735,"endHours":17.56317639877843,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:34","end":"19:16","startHours":17.56317639877843,"endHours":19.272523508743735,"quality":"auspicious"},{"name":"Kāla","start":"19:16","end":"20:59","startHours":19.272523508743735,"endHours":20.98187061870904,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:41","startHours":20.98187061870904,"endHours":22.69121772867434,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:24","startHours":22.69121772867434,"endHours":24.400564838639642,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:07","startHours":24.400564838639642,"endHours":26.109911948604946,"quality":"inauspicious"},{"name":"Chala","start":"02:07","end":"03:49","startHours":26.109911948604946,"endHours":27.819259058570246,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:32","startHours":27.819259058570246,"endHours":29.52860616853555,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:14","startHours":29.52860616853555,"endHours":31.237953278500854,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.237953278500853,"endHours":8.237953278500854,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.237953278500854,"endHours":9.237953278500854,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.237953278500854,"endHours":10.237953278500854,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.237953278500854,"endHours":11.237953278500854,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.237953278500854,"endHours":12.237953278500854,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.237953278500854,"endHours":13.237953278500854,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.237953278500854,"endHours":14.237953278500854,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.237953278500854,"endHours":15.237953278500854,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.237953278500854,"endHours":16.237953278500854,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.237953278500854,"endHours":17.237953278500854,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.237953278500854,"endHours":18.237953278500854,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.237953278500854,"endHours":19.237953278500854,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.237953278500854,"endHours":20.237953278500854,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.237953278500854,"endHours":21.237953278500854,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.237953278500854,"endHours":22.237953278500854,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.237953278500854,"endHours":23.237953278500854,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.237953278500854,"endHours":24.237953278500854,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.237953278500854,"endHours":25.237953278500854,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.237953278500854,"endHours":26.237953278500854,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.237953278500854,"endHours":27.237953278500854,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.237953278500854,"endHours":28.237953278500854,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.237953278500854,"endHours":29.237953278500854,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.237953278500854,"endHours":30.237953278500854,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.237953278500854,"endHours":31.237953278500854,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.130090656633698,"eotMinutes":-7.10429031837854,"ayanamsa":25.5436}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 9, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"January 9, 2121 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-01-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-01-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-01-09","x-default":"https://vidhyamitra.com/city/rishikesh/2121-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T14:37:26.024Z","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":"2026-05-22T14:37:26.024Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T14:37:26.024Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}