{"id":"vidhyamitra:city-day:rishikesh:2021-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2021-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-01-11","date_display":"January 11, 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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459225.770833,"kali_year":5122,"ahargana":1870760.2708,"sun":{"sidereal_longitude":266.6879,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":240.1161,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4282,"elapsed_within_tithi_degrees":9.4282},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.1161,"elapsed_within_degrees":0.1161},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.804},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2021,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459225.770833,"ahargana":1870760.2708,"kali_year":5122,"ayanamsa_lahiri":24.1468,"grahas":{"sun":{"sidereal_longitude":266.882748,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":238.46054800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":-0.1567},"mars":{"sidereal_longitude":7.503247999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":279.782648,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":280.95714799999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":248.57404799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.644148,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":58.1181,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.1181,"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":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459225.770833,"kali_year":5122,"ahargana":1870760.2708,"sun":{"sidereal_longitude":266.6879,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":240.1161,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.4282,"elapsed_within_tithi_degrees":9.4282},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":240.1161,"elapsed_within_degrees":0.1161},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.804},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.157,"elongation":26.572},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.157,"opposition_distance":153.428}},"eclipse_window_40days":[{"offset_days":-12,"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":"17:35","solarNoonLocal":"12:25","dayLengthHours":10.35596130488355,"dayLengthDisplay":"10 Hours 21 Mins 21 Secs","nightLengthDisplay":"13 Hours 38 Mins 39 Secs","moonriseLocal":"05:26","moonsetLocal":"15:37","rahuKala":{"name":"Rāhu Kāla","start":"08:32","end":"09:49","startHours":8.53011621458478,"endHours":9.824611377695224,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:07","end":"12:25","startHours":11.119106540805667,"endHours":12.413601703916111,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:42","end":"15:00","startHours":13.708096867026555,"endHours":15.002592030136999,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.652012022613832,"endHours":9.997210732776615,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.667119439177817,"endHours":7.943278407308045,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.068402993753326,"endHours":12.758800414078896,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.854826210823196,"endHours":6.545223631148766,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.3726242760673735,"endHours":7.235621051474336,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139595254730036,"endHours":14.829992675055607,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.391582356357887,"endHours":17.791582356357885,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.591582356357886,"endHours":18.023080744061367,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.341582356357886,"endHours":19.091582356357886,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.068402993753327,"endHours":24.758800414078895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:14","end":"08:32","startHours":7.235621051474336,"endHours":8.53011621458478,"quality":"auspicious"},{"name":"Kāla","start":"08:32","end":"09:49","startHours":8.53011621458478,"endHours":9.824611377695224,"quality":"inauspicious"},{"name":"Śubha","start":"09:49","end":"11:07","startHours":9.824611377695224,"endHours":11.119106540805667,"quality":"auspicious"},{"name":"Roga","start":"11:07","end":"12:25","startHours":11.119106540805667,"endHours":12.413601703916111,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:42","startHours":12.413601703916111,"endHours":13.708096867026555,"quality":"inauspicious"},{"name":"Chala","start":"13:42","end":"15:00","startHours":13.708096867026555,"endHours":15.002592030136999,"quality":"neutral"},{"name":"Labha","start":"15:00","end":"16:18","startHours":15.002592030136999,"endHours":16.297087193247442,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:35","startHours":16.297087193247442,"endHours":17.591582356357886,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:35","end":"19:18","startHours":17.591582356357886,"endHours":19.297087193247442,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"21:00","startHours":19.297087193247442,"endHours":21.002592030137,"quality":"auspicious"},{"name":"Amṛta","start":"21:00","end":"22:42","startHours":21.002592030137,"endHours":22.708096867026555,"quality":"auspicious"},{"name":"Kāla","start":"22:42","end":"00:25","startHours":22.708096867026555,"endHours":24.41360170391611,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:07","startHours":24.41360170391611,"endHours":26.119106540805667,"quality":"auspicious"},{"name":"Roga","start":"02:07","end":"03:49","startHours":26.119106540805667,"endHours":27.824611377695224,"quality":"inauspicious"},{"name":"Udveg","start":"03:49","end":"05:32","startHours":27.824611377695224,"endHours":29.53011621458478,"quality":"inauspicious"},{"name":"Chala","start":"05:32","end":"07:14","startHours":29.53011621458478,"endHours":31.235621051474336,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.235621051474336,"endHours":8.235621051474336,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.235621051474336,"endHours":9.235621051474336,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.235621051474336,"endHours":10.235621051474336,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.235621051474336,"endHours":11.235621051474336,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.235621051474336,"endHours":12.235621051474336,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.235621051474336,"endHours":13.235621051474336,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.235621051474336,"endHours":14.235621051474336,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.235621051474336,"endHours":15.235621051474336,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.235621051474336,"endHours":16.235621051474336,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.235621051474336,"endHours":17.235621051474336,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.235621051474336,"endHours":18.235621051474336,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.235621051474336,"endHours":19.235621051474336,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.235621051474336,"endHours":20.235621051474336,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.235621051474336,"endHours":21.235621051474336,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.235621051474336,"endHours":22.235621051474336,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.235621051474336,"endHours":23.235621051474336,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.235621051474336,"endHours":24.235621051474336,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.235621051474336,"endHours":25.235621051474336,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.235621051474336,"endHours":26.235621051474336,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.235621051474336,"endHours":27.235621051474336,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.235621051474336,"endHours":28.235621051474336,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.235621051474336,"endHours":29.235621051474336,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.235621051474336,"endHours":30.235621051474336,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.235621051474336,"endHours":31.235621051474336,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","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":-21.792215599786037,"eotMinutes":-7.886502234966622,"ayanamsa":24.1468}},"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 Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · 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},{"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":"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":[]},"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 11, 2021 CE · Ṛṣikeśa · Vidhyamitra","description":"January 11, 2021 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:14, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2021-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2021-01-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2021-01-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2021-01-11","x-default":"https://vidhyamitra.com/city/rishikesh/2021-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T10:26:57.741Z","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":"2026-05-15T10:26:57.741Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T10:26:57.741Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}