{"id":"vidhyamitra:city-day:rishikesh:2175-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2175-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-01-13","date_display":"January 13, 2175 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":2175,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515474.770833,"kali_year":5276,"ahargana":1927009.2708,"sun":{"sidereal_longitude":265.816,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":155.0153,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.1993,"elapsed_within_tithi_degrees":9.1993},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.0153,"elapsed_within_degrees":8.3486},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.8312},"karana":{"half_tithi_index":41,"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":2175,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515474.770833,"ahargana":1927009.2708,"kali_year":5276,"ayanamsa_lahiri":26.2981,"grahas":{"sun":{"sidereal_longitude":266.378923,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":153.21822299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-1.3324},"mars":{"sidereal_longitude":321.8803230000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.93492300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":272.92992300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":294.65222300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":352.573823,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":317.7754,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.7754,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"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":2175,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515474.770833,"kali_year":5276,"ahargana":1927009.2708,"sun":{"sidereal_longitude":265.816,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":155.0153,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.1993,"elapsed_within_tithi_degrees":9.1993},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.0153,"elapsed_within_degrees":8.3486},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.8312},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.332,"elongation":110.801},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.332,"opposition_distance":69.199}},"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":10.379720733848941,"dayLengthDisplay":"10 Hours 22 Mins 47 Secs","nightLengthDisplay":"13 Hours 37 Mins 13 Secs","moonriseLocal":"22:50","moonsetLocal":"10:56","rahuKala":{"name":"Rāhu Kāla","start":"11:08","end":"12:26","startHours":11.128627099791778,"endHours":12.426092191522894,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:01","end":"16:19","startHours":15.02102237498513,"endHours":16.31848746671625,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:32","end":"09:50","startHours":8.533696916329543,"endHours":9.831162008060659,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.65816666249651,"endHours":10.004157353624809,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.6687201885087966,"endHours":7.945512741411435,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.080101500394596,"endHours":12.772082882651192,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.8522690600852325,"endHours":6.544250442341828,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.371255096777679,"endHours":7.236231824598424,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.156045647164387,"endHours":14.848027029420983,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.415952558447366,"endHours":17.815952558447364,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.615952558447365,"endHours":18.048440922357738,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.365952558447365,"endHours":19.115952558447365,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.080101500394598,"endHours":24.77208288265119,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:14","end":"08:32","startHours":7.236231824598424,"endHours":8.533696916329543,"quality":"neutral"},{"name":"Labha","start":"08:32","end":"09:50","startHours":8.533696916329543,"endHours":9.831162008060659,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:08","startHours":9.831162008060659,"endHours":11.128627099791778,"quality":"auspicious"},{"name":"Kāla","start":"11:08","end":"12:26","startHours":11.128627099791778,"endHours":12.426092191522894,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.723557283254014,"quality":"auspicious"},{"name":"Roga","start":"13:43","end":"15:01","startHours":13.723557283254014,"endHours":15.02102237498513,"quality":"inauspicious"},{"name":"Udveg","start":"15:01","end":"16:19","startHours":15.02102237498513,"endHours":16.31848746671625,"quality":"inauspicious"},{"name":"Chala","start":"16:19","end":"17:37","startHours":16.31848746671625,"endHours":17.615952558447365,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:19","startHours":17.615952558447365,"endHours":19.31848746671625,"quality":"inauspicious"},{"name":"Udveg","start":"19:19","end":"21:01","startHours":19.31848746671625,"endHours":21.02102237498513,"quality":"inauspicious"},{"name":"Chala","start":"21:01","end":"22:43","startHours":21.02102237498513,"endHours":22.72355728325401,"quality":"neutral"},{"name":"Labha","start":"22:43","end":"00:26","startHours":22.72355728325401,"endHours":24.426092191522894,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.128627099791778,"quality":"auspicious"},{"name":"Kāla","start":"02:08","end":"03:50","startHours":26.128627099791778,"endHours":27.83116200806066,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:32","startHours":27.83116200806066,"endHours":29.53369691632954,"quality":"auspicious"},{"name":"Roga","start":"05:32","end":"07:14","startHours":29.53369691632954,"endHours":31.236231824598423,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.236231824598424,"endHours":8.236231824598423,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.236231824598423,"endHours":9.236231824598423,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.236231824598423,"endHours":10.236231824598423,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.236231824598423,"endHours":11.236231824598423,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.236231824598423,"endHours":12.236231824598423,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.236231824598423,"endHours":13.236231824598423,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.236231824598423,"endHours":14.236231824598423,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.236231824598423,"endHours":15.236231824598423,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.236231824598423,"endHours":16.236231824598423,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.236231824598423,"endHours":17.236231824598423,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.236231824598423,"endHours":18.236231824598423,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.236231824598423,"endHours":19.236231824598423,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.236231824598423,"endHours":20.236231824598423,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.236231824598423,"endHours":21.236231824598423,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.236231824598423,"endHours":22.236231824598423,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.236231824598423,"endHours":23.236231824598423,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.236231824598423,"endHours":24.236231824598423,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.236231824598423,"endHours":25.236231824598423,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.236231824598423,"endHours":26.236231824598423,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.236231824598423,"endHours":27.236231824598423,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.236231824598423,"endHours":28.236231824598423,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.236231824598423,"endHours":29.236231824598423,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.236231824598423,"endHours":30.236231824598423,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.236231824598423,"endHours":31.236231824598423,"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Prajāpati","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":-21.52978599579701,"eotMinutes":-8.635931491373626,"ayanamsa":26.2981}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ṣaṣṭhī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"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":"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":[]},"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, 2175 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 2175 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2175-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2175-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2175-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2175-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/2175-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T22:02:15.710Z","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":"2026-05-27T22:02:15.710Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T22:02:15.710Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}