{"id":"vidhyamitra:city-day:rishikesh:2115-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2115-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-01-03","date_display":"January 3, 2115 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":2115,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493549.770833,"kali_year":5216,"ahargana":1905084.2708,"sun":{"sidereal_longitude":256.0763,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":337.3011,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.2248,"elapsed_within_tithi_degrees":9.2248},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.3011,"elapsed_within_degrees":3.9678},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.3775},"karana":{"half_tithi_index":13,"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":2115,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493549.770833,"ahargana":1905084.2708,"kali_year":5216,"ayanamsa_lahiri":25.4595,"grahas":{"sun":{"sidereal_longitude":256.5830189999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":334.201019,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":-3.9785},"mars":{"sidereal_longitude":351.098419,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.983019,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":253.85161900000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":209.77911900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":339.115619,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":39.4674,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.4674,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2115,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493549.770833,"kali_year":5216,"ahargana":1905084.2708,"sun":{"sidereal_longitude":256.0763,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":337.3011,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.2248,"elapsed_within_tithi_degrees":9.2248},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.3011,"elapsed_within_degrees":3.9678},"yoga":{"number":18,"name":"Varīyān","sum_longitude":233.3775},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.978,"elongation":81.225},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.978,"opposition_distance":98.775}},"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":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.255366317463768,"dayLengthDisplay":"10 Hours 15 Mins 19 Secs","nightLengthDisplay":"13 Hours 44 Mins 41 Secs","moonriseLocal":"11:30","moonsetLocal":"23:34","rahuKala":{"name":"Rāhu Kāla","start":"13:38","end":"14:55","startHours":13.640571136860608,"endHours":14.922491926543579,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:14","end":"08:31","startHours":7.230967188445753,"endHours":8.512887978128724,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:48","end":"11:05","startHours":9.794808767811695,"endHours":11.076729557494666,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.623885995853964,"endHours":9.965731539769424,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.658274118340077,"endHours":7.931750553472444,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.016804803262177,"endHours":12.700495891093096,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.8635850127839175,"endHours":6.547276100614835,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.376353328657106,"endHours":7.230967188445753,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.06787806675493,"endHours":14.751569154585848,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.28633350590952,"endHours":17.68633350590952,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.48633350590952,"endHours":17.913640435803845,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.23633350590952,"endHours":18.98633350590952,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.01680480326218,"endHours":24.700495891093095,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:14","end":"08:31","startHours":7.230967188445753,"endHours":8.512887978128724,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:48","startHours":8.512887978128724,"endHours":9.794808767811695,"quality":"inauspicious"},{"name":"Udveg","start":"09:48","end":"11:05","startHours":9.794808767811695,"endHours":11.076729557494666,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:22","startHours":11.076729557494666,"endHours":12.358650347177637,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:38","startHours":12.358650347177637,"endHours":13.640571136860608,"quality":"auspicious"},{"name":"Amṛta","start":"13:38","end":"14:55","startHours":13.640571136860608,"endHours":14.922491926543579,"quality":"auspicious"},{"name":"Kāla","start":"14:55","end":"16:12","startHours":14.922491926543579,"endHours":16.20441271622655,"quality":"inauspicious"},{"name":"Śubha","start":"16:12","end":"17:29","startHours":16.20441271622655,"endHours":17.48633350590952,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:29","end":"19:12","startHours":17.48633350590952,"endHours":19.20441271622655,"quality":"auspicious"},{"name":"Kāla","start":"19:12","end":"20:55","startHours":19.20441271622655,"endHours":20.92249192654358,"quality":"inauspicious"},{"name":"Śubha","start":"20:55","end":"22:38","startHours":20.92249192654358,"endHours":22.640571136860608,"quality":"auspicious"},{"name":"Roga","start":"22:38","end":"00:22","startHours":22.640571136860608,"endHours":24.358650347177637,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"02:05","startHours":24.358650347177637,"endHours":26.076729557494666,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:48","startHours":26.076729557494666,"endHours":27.794808767811695,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"05:31","startHours":27.794808767811695,"endHours":29.512887978128724,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:14","startHours":29.512887978128724,"endHours":31.230967188445753,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.230967188445753,"endHours":8.230967188445753,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.230967188445753,"endHours":9.230967188445753,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.230967188445753,"endHours":10.230967188445753,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.230967188445753,"endHours":11.230967188445753,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.230967188445753,"endHours":12.230967188445753,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.230967188445753,"endHours":13.230967188445753,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.230967188445753,"endHours":14.230967188445753,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.230967188445753,"endHours":15.230967188445753,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.230967188445753,"endHours":16.230967188445753,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.230967188445753,"endHours":17.230967188445753,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.230967188445753,"endHours":18.230967188445753,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.230967188445753,"endHours":19.230967188445753,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.230967188445753,"endHours":20.230967188445753,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.230967188445753,"endHours":21.230967188445753,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.230967188445753,"endHours":22.230967188445753,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.230967188445753,"endHours":23.230967188445753,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.230967188445753,"endHours":24.230967188445753,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.230967188445753,"endHours":25.230967188445753,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.230967188445753,"endHours":26.230967188445753,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.230967188445753,"endHours":27.230967188445753,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.230967188445753,"endHours":28.230967188445753,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.230967188445753,"endHours":29.230967188445753,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.230967188445753,"endHours":30.230967188445753,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.230967188445753,"endHours":31.230967188445753,"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","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":-22.891020727416983,"eotMinutes":-4.589420830658165,"ayanamsa":25.4595}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2172 Sarvadhāri · Śaka 2037 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":"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 3, 2115 CE · Ṛṣikeśa · Vidhyamitra","description":"January 3, 2115 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 07:14, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2115-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2115-01-03","sa":"https://sa.vidhyamitra.com/city/rishikesh/2115-01-03","hi":"https://hi.vidhyamitra.com/city/rishikesh/2115-01-03","x-default":"https://vidhyamitra.com/city/rishikesh/2115-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T19:03:38.275Z","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":"2026-05-21T19:03:38.275Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T19:03:38.275Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}