{"id":"vidhyamitra:city-day:rishikesh:2021-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-01-14","date_display":"January 14, 2021 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":2021,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459228.770833,"kali_year":5122,"ahargana":1870763.2708,"sun":{"sidereal_longitude":269.7697,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":282.1133,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.3436,"elapsed_within_tithi_degrees":0.3436},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.1133,"elapsed_within_degrees":2.1133},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.8829},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2021,"month":1,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459228.770833,"ahargana":1870763.2708,"kali_year":5122,"ayanamsa_lahiri":24.1469,"grahas":{"sun":{"sidereal_longitude":269.93923399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":280.52203399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.133},"mars":{"sidereal_longitude":8.945433999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":284.61033399999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":281.6595339999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":252.33693400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":278.997834,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":57.9592,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":237.9592,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":2021,"month":1,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459228.770833,"kali_year":5122,"ahargana":1870763.2708,"sun":{"sidereal_longitude":269.7697,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":282.1133,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.3436,"elapsed_within_tithi_degrees":0.3436},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.1133,"elapsed_within_degrees":2.1133},"yoga":{"number":15,"name":"Vajra","sum_longitude":191.8829},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.133,"elongation":12.344},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.133,"opposition_distance":167.656}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":1.091,"opposition_distance":1.549}]},"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":"17:38","solarNoonLocal":"12:26","dayLengthHours":10.401263815853975,"dayLengthDisplay":"10 Hours 24 Mins 05 Secs","nightLengthDisplay":"13 Hours 35 Mins 55 Secs","moonriseLocal":"07:52","moonsetLocal":"18:25","rahuKala":{"name":"Rāhu Kāla","start":"13:44","end":"15:02","startHours":13.732276726970886,"endHours":15.032434703952633,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:32","startHours":7.231486842062152,"endHours":8.5316448190439,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:08","startHours":9.831802796025645,"endHours":11.131960773007393,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.658448399094747,"endHours":10.005157192956545,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.664872834389401,"endHours":7.942239869478841,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.085409956127341,"endHours":12.778827543850939,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.844651666614955,"endHours":6.538069254338554,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.3647148574076535,"endHours":7.231486842062152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:52","startHours":14.165662719298135,"endHours":14.859080307021733,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.432750657916127,"endHours":17.832750657916126,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.632750657916127,"endHours":18.066136650243376,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.382750657916127,"endHours":19.132750657916127,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.08540995612734,"endHours":24.77882754385094,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:32","startHours":7.231486842062152,"endHours":8.5316448190439,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:50","startHours":8.5316448190439,"endHours":9.831802796025645,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:08","startHours":9.831802796025645,"endHours":11.131960773007393,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:26","startHours":11.131960773007393,"endHours":12.43211874998914,"quality":"neutral"},{"name":"Labha","start":"12:26","end":"13:44","startHours":12.43211874998914,"endHours":13.732276726970886,"quality":"auspicious"},{"name":"Amṛta","start":"13:44","end":"15:02","startHours":13.732276726970886,"endHours":15.032434703952633,"quality":"auspicious"},{"name":"Kāla","start":"15:02","end":"16:20","startHours":15.032434703952633,"endHours":16.33259268093438,"quality":"inauspicious"},{"name":"Śubha","start":"16:20","end":"17:38","startHours":16.33259268093438,"endHours":17.632750657916127,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:38","end":"19:20","startHours":17.632750657916127,"endHours":19.33259268093438,"quality":"auspicious"},{"name":"Kāla","start":"19:20","end":"21:02","startHours":19.33259268093438,"endHours":21.03243470395263,"quality":"inauspicious"},{"name":"Śubha","start":"21:02","end":"22:44","startHours":21.03243470395263,"endHours":22.732276726970888,"quality":"auspicious"},{"name":"Roga","start":"22:44","end":"00:26","startHours":22.732276726970888,"endHours":24.43211874998914,"quality":"inauspicious"},{"name":"Udveg","start":"00:26","end":"02:08","startHours":24.43211874998914,"endHours":26.131960773007393,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:50","startHours":26.131960773007393,"endHours":27.831802796025645,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:32","startHours":27.831802796025645,"endHours":29.531644819043898,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:14","startHours":29.531644819043898,"endHours":31.231486842062154,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.231486842062152,"endHours":8.231486842062152,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.231486842062152,"endHours":9.231486842062152,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.231486842062152,"endHours":10.231486842062152,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.231486842062152,"endHours":11.231486842062152,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.231486842062152,"endHours":12.231486842062152,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.231486842062152,"endHours":13.231486842062152,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.231486842062152,"endHours":14.231486842062152,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.231486842062152,"endHours":15.231486842062152,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.231486842062152,"endHours":16.231486842062154,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.231486842062154,"endHours":17.231486842062154,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.231486842062154,"endHours":18.231486842062154,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.231486842062154,"endHours":19.231486842062154,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.231486842062154,"endHours":20.231486842062154,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.231486842062154,"endHours":21.231486842062154,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.231486842062154,"endHours":22.231486842062154,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.231486842062154,"endHours":23.231486842062154,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.231486842062154,"endHours":24.231486842062154,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.231486842062154,"endHours":25.231486842062154,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.231486842062154,"endHours":26.231486842062154,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.231486842062154,"endHours":27.231486842062154,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.231486842062154,"endHours":28.231486842062154,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.231486842062154,"endHours":29.231486842062154,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.231486842062154,"endHours":30.231486842062154,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.231486842062154,"endHours":31.231486842062154,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-21.290889347075083,"eotMinutes":-8.99752499934842,"ayanamsa":24.1469}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"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 14, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"January 14, 2021 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 07:14, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-01-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-01-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-01-14","x-default":"https://vidhyamitra.com/city/rishikesh/2021-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T19:10:55.695Z","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":"2026-05-15T19:10:55.695Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T19:10:55.695Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}