{"id":"vidhyamitra:city-day:rishikesh:2124-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2124-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2124-01-13","date_display":"January 13, 2124 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":2124,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496846.770833,"kali_year":5225,"ahargana":1908381.2708,"sun":{"sidereal_longitude":266.018,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":224.1977,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.1797,"elapsed_within_tithi_degrees":6.1797},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.1977,"elapsed_within_degrees":10.8643},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.2156},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2124,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496846.770833,"ahargana":1908381.2708,"kali_year":5225,"ayanamsa_lahiri":25.5856,"grahas":{"sun":{"sidereal_longitude":266.45975,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":226.35855000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-0.0454},"mars":{"sidereal_longitude":290.7791500000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.05304999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":183.33355000000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":307.3941500000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":107.55845,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":224.7765,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":44.7765,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2124,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496846.770833,"kali_year":5225,"ahargana":1908381.2708,"sun":{"sidereal_longitude":266.018,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":224.1977,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.1797,"elapsed_within_tithi_degrees":6.1797},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.1977,"elapsed_within_degrees":10.8643},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":130.2156},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.045,"elongation":41.82},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.045,"opposition_distance":138.18}},"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":10.370426643969997,"dayLengthDisplay":"10 Hours 22 Mins 14 Secs","nightLengthDisplay":"13 Hours 37 Mins 46 Secs","moonriseLocal":"04:37","moonsetLocal":"14:53","rahuKala":{"name":"Rāhu Kāla","start":"13:43","end":"15:01","startHours":13.722395522019145,"endHours":15.018698852515394,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:32","startHours":7.240878869537896,"endHours":8.537182200034145,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:08","startHours":9.833485530530396,"endHours":11.129788861026645,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.660645086464228,"endHours":10.006325974596562,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.672979979703313,"endHours":7.94952469020918,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:46","startHours":12.08041130339056,"endHours":12.771773079655228,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.858155317008563,"endHours":6.54951709327323,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.376676649207063,"endHours":7.240878869537896,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.15449663218456,"endHours":14.845858408449228,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.411305513507894,"endHours":17.811305513507893,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.611305513507894,"endHours":18.04340662367331,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.361305513507894,"endHours":19.111305513507894,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:46","startHours":24.080411303390562,"endHours":24.771773079655226,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:32","startHours":7.240878869537896,"endHours":8.537182200034145,"quality":"auspicious"},{"name":"Roga","start":"08:32","end":"09:50","startHours":8.537182200034145,"endHours":9.833485530530396,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:08","startHours":9.833485530530396,"endHours":11.129788861026645,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:26","startHours":11.129788861026645,"endHours":12.426092191522894,"quality":"neutral"},{"name":"Labha","start":"12:26","end":"13:43","startHours":12.426092191522894,"endHours":13.722395522019145,"quality":"auspicious"},{"name":"Amṛta","start":"13:43","end":"15:01","startHours":13.722395522019145,"endHours":15.018698852515394,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.018698852515394,"endHours":16.315002183011643,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.315002183011643,"endHours":17.611305513507894,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.611305513507894,"endHours":19.315002183011643,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.315002183011643,"endHours":21.018698852515396,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:43","startHours":21.018698852515396,"endHours":22.722395522019145,"quality":"auspicious"},{"name":"Roga","start":"22:43","end":"00:26","startHours":22.722395522019145,"endHours":24.426092191522894,"quality":"inauspicious"},{"name":"Udveg","start":"00:26","end":"02:08","startHours":24.426092191522894,"endHours":26.129788861026647,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:50","startHours":26.129788861026647,"endHours":27.833485530530396,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:32","startHours":27.833485530530396,"endHours":29.537182200034145,"quality":"auspicious"},{"name":"Amṛta","start":"05:32","end":"07:14","startHours":29.537182200034145,"endHours":31.240878869537895,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.240878869537896,"endHours":8.240878869537896,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.240878869537896,"endHours":9.240878869537896,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.240878869537896,"endHours":10.240878869537896,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.240878869537896,"endHours":11.240878869537896,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.240878869537896,"endHours":12.240878869537896,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.240878869537896,"endHours":13.240878869537896,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.240878869537896,"endHours":14.240878869537896,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.240878869537896,"endHours":15.240878869537896,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.240878869537896,"endHours":16.240878869537895,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.240878869537895,"endHours":17.240878869537895,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.240878869537895,"endHours":18.240878869537895,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.240878869537895,"endHours":19.240878869537895,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.240878869537895,"endHours":20.240878869537895,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.240878869537895,"endHours":21.240878869537895,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.240878869537895,"endHours":22.240878869537895,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.240878869537895,"endHours":23.240878869537895,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.240878869537895,"endHours":24.240878869537895,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.240878869537895,"endHours":25.240878869537895,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.240878869537895,"endHours":26.240878869537895,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.240878869537895,"endHours":27.240878869537895,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.240878869537895,"endHours":28.240878869537895,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.240878869537895,"endHours":29.240878869537895,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.240878869537895,"endHours":30.240878869537895,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.240878869537895,"endHours":31.240878869537895,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","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":-21.63257269334079,"eotMinutes":-8.635931491373626,"ayanamsa":25.5856}},"calendars":{"vikram_samvat":2181,"vikram_samvatsara":"Hemalambī","saka_samvat":2046,"saka_samvatsara":"Tāraṇa","bengali_samvat":1531,"malayalam_era":1300,"nanakshahi_year":655,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Dvādaśī · Vikram 2181 Hemalambī · Śaka 2046 Tāraṇa"},"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 13, 2124 CE · Ṛṣikeśa · Vidhyamitra","description":"January 13, 2124 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 07:14, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2124-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2124-01-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2124-01-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2124-01-13","x-default":"https://vidhyamitra.com/city/rishikesh/2124-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T21:16:09.938Z","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":"2026-05-22T21:16:09.938Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T21:16:09.938Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}