{"id":"vidhyamitra:city-day:rishikesh:2079-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2079-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2079-01-13","date_display":"January 13, 2079 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":2079,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480411.770833,"kali_year":5180,"ahargana":1891946.2708,"sun":{"sidereal_longitude":267.7072,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":29.9568,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.2496,"elapsed_within_tithi_degrees":2.2496},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.9568,"elapsed_within_degrees":3.2901},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.664},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2079,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2480411.770833,"ahargana":1891946.2708,"kali_year":5180,"ayanamsa_lahiri":24.957,"grahas":{"sun":{"sidereal_longitude":268.02938700000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":27.775687000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":1.1161},"mars":{"sidereal_longitude":312.543687,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":266.198587,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":246.57748700000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":290.970687,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":269.1095869999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":15.5819,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":195.5819,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2079,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480411.770833,"kali_year":5180,"ahargana":1891946.2708,"sun":{"sidereal_longitude":267.7072,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":29.9568,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":122.2496,"elapsed_within_tithi_degrees":2.2496},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":29.9568,"elapsed_within_degrees":3.2901},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.664},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.116,"elongation":122.25},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.116,"opposition_distance":57.75}},"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":"07:14","sunsetLocal":"17:37","solarNoonLocal":"12:26","dayLengthHours":10.384355143777725,"dayLengthDisplay":"10 Hours 23 Mins 04 Secs","nightLengthDisplay":"13 Hours 36 Mins 56 Secs","moonriseLocal":"13:37","moonsetLocal":"03:12","rahuKala":{"name":"Rāhu Kāla","start":"11:08","end":"12:26","startHours":11.128047798550678,"endHours":12.426092191522894,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:01","end":"16:19","startHours":15.022180977467325,"endHours":16.32022537043954,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:32","end":"09:50","startHours":8.531959012606247,"endHours":9.830003405578463,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.656930819848835,"endHours":10.00307599130809,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.666596083958104,"endHours":7.94351222112551,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.079947020063637,"endHours":12.772237362982152,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.849333933797002,"endHours":6.541624276715517,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.368551690985888,"endHours":7.233914619634032,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.156818048819181,"endHours":14.849108391737696,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.418269763411757,"endHours":17.818269763411756,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.618269763411757,"endHours":18.05095122773583,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.368269763411757,"endHours":19.118269763411757,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.079947020063635,"endHours":24.772237362982153,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:14","end":"08:32","startHours":7.233914619634032,"endHours":8.531959012606247,"quality":"neutral"},{"name":"Labha","start":"08:32","end":"09:50","startHours":8.531959012606247,"endHours":9.830003405578463,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:08","startHours":9.830003405578463,"endHours":11.128047798550678,"quality":"auspicious"},{"name":"Kāla","start":"11:08","end":"12:26","startHours":11.128047798550678,"endHours":12.426092191522894,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.72413658449511,"quality":"auspicious"},{"name":"Roga","start":"13:43","end":"15:01","startHours":13.72413658449511,"endHours":15.022180977467325,"quality":"inauspicious"},{"name":"Udveg","start":"15:01","end":"16:19","startHours":15.022180977467325,"endHours":16.32022537043954,"quality":"inauspicious"},{"name":"Chala","start":"16:19","end":"17:37","startHours":16.32022537043954,"endHours":17.618269763411757,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:19","startHours":17.618269763411757,"endHours":19.32022537043954,"quality":"inauspicious"},{"name":"Udveg","start":"19:19","end":"21:01","startHours":19.32022537043954,"endHours":21.022180977467325,"quality":"inauspicious"},{"name":"Chala","start":"21:01","end":"22:43","startHours":21.022180977467325,"endHours":22.72413658449511,"quality":"neutral"},{"name":"Labha","start":"22:43","end":"00:26","startHours":22.72413658449511,"endHours":24.426092191522894,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.12804779855068,"quality":"auspicious"},{"name":"Kāla","start":"02:08","end":"03:50","startHours":26.12804779855068,"endHours":27.830003405578463,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:32","startHours":27.830003405578463,"endHours":29.531959012606247,"quality":"auspicious"},{"name":"Roga","start":"05:32","end":"07:14","startHours":29.531959012606247,"endHours":31.23391461963403,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.233914619634032,"endHours":8.233914619634032,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.233914619634032,"endHours":9.233914619634032,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.233914619634032,"endHours":10.233914619634032,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.233914619634032,"endHours":11.233914619634032,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.233914619634032,"endHours":12.233914619634032,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.233914619634032,"endHours":13.233914619634032,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.233914619634032,"endHours":14.233914619634032,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.233914619634032,"endHours":15.233914619634032,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.233914619634032,"endHours":16.23391461963403,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.23391461963403,"endHours":17.23391461963403,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.23391461963403,"endHours":18.23391461963403,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.23391461963403,"endHours":19.23391461963403,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.23391461963403,"endHours":20.23391461963403,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.23391461963403,"endHours":21.23391461963403,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.23391461963403,"endHours":22.23391461963403,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.23391461963403,"endHours":23.23391461963403,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.23391461963403,"endHours":24.23391461963403,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.23391461963403,"endHours":25.23391461963403,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.23391461963403,"endHours":26.23391461963403,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.23391461963403,"endHours":27.23391461963403,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.23391461963403,"endHours":28.23391461963403,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.23391461963403,"endHours":29.23391461963403,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.23391461963403,"endHours":30.23391461963403,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.23391461963403,"endHours":31.23391461963403,"planetary_lord":"Mars"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-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":-21.478469717232638,"eotMinutes":-8.635931491373626,"ayanamsa":24.957}},"calendars":{"vikram_samvat":2136,"vikram_samvatsara":"Paridhāvi","saka_samvat":2001,"saka_samvatsara":"Vikāri","bengali_samvat":1486,"malayalam_era":1255,"nanakshahi_year":610,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Ekādaśī · Vikram 2136 Paridhāvi · Śaka 2001 Vikāri"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 13, 2079 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 2079 CE for Ṛṣikeśa: Śukla Ekādaśī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2079-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2079-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2079-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2079-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/2079-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T09:40:24.560Z","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":"2026-05-19T09:40:24.560Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T09:40:24.560Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}