{"id":"vidhyamitra:city-day:rishikesh:2120-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2120-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-01-11","date_display":"January 11, 2120 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":2120,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495383.770833,"kali_year":5221,"ahargana":1906918.2708,"sun":{"sidereal_longitude":263.9986,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":29.4649,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.4663,"elapsed_within_tithi_degrees":5.4663},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.4649,"elapsed_within_degrees":2.7982},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4635},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2120,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495383.770833,"ahargana":1906918.2708,"kali_year":5221,"ayanamsa_lahiri":25.5297,"grahas":{"sun":{"sidereal_longitude":264.448747,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":32.23444699999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":4.4945},"mars":{"sidereal_longitude":257.66564700000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":278.635847,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":50.43154700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":233.716047,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":47.214147000000025,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":302.2933,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.2933,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2120,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495383.770833,"kali_year":5221,"ahargana":1906918.2708,"sun":{"sidereal_longitude":263.9986,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":29.4649,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.4663,"elapsed_within_tithi_degrees":5.4663},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.4649,"elapsed_within_degrees":2.7982},"yoga":{"number":23,"name":"Śubha","sum_longitude":293.4635},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":125.466},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":54.534}},"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":"07:15","sunsetLocal":"17:35","solarNoonLocal":"12:25","dayLengthHours":10.341627427110943,"dayLengthDisplay":"10 Hours 20 Mins 30 Secs","nightLengthDisplay":"13 Hours 39 Mins 30 Secs","moonriseLocal":"14:05","moonsetLocal":"03:47","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:00","startHours":13.70630513230498,"endHours":14.999008560693849,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:32","startHours":7.2427879903606405,"endHours":8.535491418749508,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:07","startHours":9.828194847138377,"endHours":11.120898275527244,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65583439001986,"endHours":10.000555304256892,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.6736891331569295,"endHours":7.949465864546554,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:45","startHours":12.06888078967908,"endHours":12.758322618153143,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.863904333412515,"endHours":6.553346161886577,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.380985704768062,"endHours":7.2427879903606405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.13720627510127,"endHours":14.826648103575334,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.384415417471583,"endHours":17.784415417471582,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.584415417471583,"endHours":18.015316560267873,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.334415417471583,"endHours":19.084415417471583,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:45","startHours":24.06888078967908,"endHours":24.75832261815314,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:15","end":"08:32","startHours":7.2427879903606405,"endHours":8.535491418749508,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:50","startHours":8.535491418749508,"endHours":9.828194847138377,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:07","startHours":9.828194847138377,"endHours":11.120898275527244,"quality":"inauspicious"},{"name":"Chala","start":"11:07","end":"12:25","startHours":11.120898275527244,"endHours":12.413601703916111,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"13:42","startHours":12.413601703916111,"endHours":13.70630513230498,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:00","startHours":13.70630513230498,"endHours":14.999008560693849,"quality":"auspicious"},{"name":"Kāla","start":"15:00","end":"16:18","startHours":14.999008560693849,"endHours":16.291711989082714,"quality":"inauspicious"},{"name":"Śubha","start":"16:18","end":"17:35","startHours":16.291711989082714,"endHours":17.584415417471583,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:35","end":"19:18","startHours":17.584415417471583,"endHours":19.291711989082714,"quality":"auspicious"},{"name":"Kāla","start":"19:18","end":"21:00","startHours":19.291711989082714,"endHours":20.999008560693845,"quality":"inauspicious"},{"name":"Śubha","start":"21:00","end":"22:42","startHours":20.999008560693845,"endHours":22.70630513230498,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:25","startHours":22.70630513230498,"endHours":24.41360170391611,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"02:07","startHours":24.41360170391611,"endHours":26.120898275527242,"quality":"inauspicious"},{"name":"Chala","start":"02:07","end":"03:50","startHours":26.120898275527242,"endHours":27.828194847138377,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:32","startHours":27.828194847138377,"endHours":29.53549141874951,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:15","startHours":29.53549141874951,"endHours":31.24278799036064,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.2427879903606405,"endHours":8.24278799036064,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.24278799036064,"endHours":9.24278799036064,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.24278799036064,"endHours":10.24278799036064,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.24278799036064,"endHours":11.24278799036064,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.24278799036064,"endHours":12.24278799036064,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.24278799036064,"endHours":13.24278799036064,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.24278799036064,"endHours":14.24278799036064,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.24278799036064,"endHours":15.24278799036064,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.24278799036064,"endHours":16.24278799036064,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.24278799036064,"endHours":17.24278799036064,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.24278799036064,"endHours":18.24278799036064,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.24278799036064,"endHours":19.24278799036064,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.24278799036064,"endHours":20.24278799036064,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.24278799036064,"endHours":21.24278799036064,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.24278799036064,"endHours":22.24278799036064,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.24278799036064,"endHours":23.24278799036064,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.24278799036064,"endHours":24.24278799036064,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.24278799036064,"endHours":25.24278799036064,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.24278799036064,"endHours":26.24278799036064,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.24278799036064,"endHours":27.24278799036064,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.24278799036064,"endHours":28.24278799036064,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.24278799036064,"endHours":29.24278799036064,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.24278799036064,"endHours":30.24278799036064,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.24278799036064,"endHours":31.24278799036064,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","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":-21.950004540035696,"eotMinutes":-7.886502234966622,"ayanamsa":25.5297}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ekādaśī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"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":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2120 CE · Ṛṣikeśa · Vidhyamitra","description":"January 11, 2120 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 07:15, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2120-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2120-01-11","sa":"https://sa.vidhyamitra.com/city/rishikesh/2120-01-11","hi":"https://hi.vidhyamitra.com/city/rishikesh/2120-01-11","x-default":"https://vidhyamitra.com/city/rishikesh/2120-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T11:51:55.932Z","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":"2026-05-22T11:51:55.932Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T11:51:55.932Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}