{"id":"vidhyamitra:city-day:rishikesh:2075-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2075-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-29","date_display":"January 29, 2075 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":2075,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478966.770833,"kali_year":5176,"ahargana":1890501.2708,"sun":{"sidereal_longitude":284.1526,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.8112,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.6586,"elapsed_within_tithi_degrees":11.6586},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.8112,"elapsed_within_degrees":1.1445},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.9638},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2075,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478966.770833,"ahargana":1890501.2708,"kali_year":5176,"ayanamsa_lahiri":24.9018,"grahas":{"sun":{"sidereal_longitude":284.33809700000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":69.40549699999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-1.8526},"mars":{"sidereal_longitude":291.88559699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":262.536197,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":136.84389699999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":240.04089699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":230.17879700000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":92.1449,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.1449,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2075,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478966.770833,"kali_year":5176,"ahargana":1890501.2708,"sun":{"sidereal_longitude":284.1526,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.8112,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.6586,"elapsed_within_tithi_degrees":11.6586},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.8112,"elapsed_within_degrees":1.1445},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":351.9638},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.853,"elongation":143.659},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.853,"opposition_distance":36.341}},"eclipse_window_40days":[{"offset_days":3,"type":"lunar","occurs":true,"moon_latitude":1.053,"opposition_distance":1.686}]},"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":"07:09","sunsetLocal":"17:51","solarNoonLocal":"12:30","dayLengthHours":10.695457918549124,"dayLengthDisplay":"10 Hours 41 Mins 44 Secs","nightLengthDisplay":"13 Hours 18 Mins 16 Secs","moonriseLocal":"15:09","moonsetLocal":"05:11","rahuKala":{"name":"Rāhu Kāla","start":"15:11","end":"16:31","startHours":15.175559845849186,"endHours":16.512492085667827,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:10","startHours":9.827830886574624,"endHours":11.164763126393265,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:50","startHours":12.501695366211905,"endHours":13.838627606030546,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.649573254598806,"endHours":10.006088518550442,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.59961048687689,"endHours":7.8848226980382,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.145180102260268,"endHours":12.858210630163542,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:26","startHours":5.727905351130794,"endHours":6.440935879034068,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:09","startHours":6.26267824705825,"endHours":7.153966406937343,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.284271685970092,"endHours":14.997302213873366,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.649424325486468,"endHours":18.049424325486466,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.849424325486467,"endHours":18.295068405426015,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.599424325486467,"endHours":19.349424325486467,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.145180102260266,"endHours":24.858210630163544,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:29","startHours":7.153966406937343,"endHours":8.490898646755983,"quality":"inauspicious"},{"name":"Udveg","start":"08:29","end":"09:50","startHours":8.490898646755983,"endHours":9.827830886574624,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:10","startHours":9.827830886574624,"endHours":11.164763126393265,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:30","startHours":11.164763126393265,"endHours":12.501695366211905,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:50","startHours":12.501695366211905,"endHours":13.838627606030546,"quality":"auspicious"},{"name":"Kāla","start":"13:50","end":"15:11","startHours":13.838627606030546,"endHours":15.175559845849186,"quality":"inauspicious"},{"name":"Śubha","start":"15:11","end":"16:31","startHours":15.175559845849186,"endHours":16.512492085667827,"quality":"auspicious"},{"name":"Roga","start":"16:31","end":"17:51","startHours":16.512492085667827,"endHours":17.849424325486467,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:51","end":"19:31","startHours":17.849424325486467,"endHours":19.512492085667827,"quality":"inauspicious"},{"name":"Śubha","start":"19:31","end":"21:11","startHours":19.512492085667827,"endHours":21.175559845849186,"quality":"auspicious"},{"name":"Roga","start":"21:11","end":"22:50","startHours":21.175559845849186,"endHours":22.838627606030546,"quality":"inauspicious"},{"name":"Udveg","start":"22:50","end":"00:30","startHours":22.838627606030546,"endHours":24.501695366211905,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:10","startHours":24.501695366211905,"endHours":26.164763126393265,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:50","startHours":26.164763126393265,"endHours":27.827830886574624,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:29","startHours":27.827830886574624,"endHours":29.490898646755983,"quality":"auspicious"},{"name":"Kāla","start":"05:29","end":"07:09","startHours":29.490898646755983,"endHours":31.153966406937343,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.153966406937343,"endHours":8.153966406937343,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.153966406937343,"endHours":9.153966406937343,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.153966406937343,"endHours":10.153966406937343,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.153966406937343,"endHours":11.153966406937343,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.153966406937343,"endHours":12.153966406937343,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.153966406937343,"endHours":13.153966406937343,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.153966406937343,"endHours":14.153966406937343,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.153966406937343,"endHours":15.153966406937343,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.153966406937343,"endHours":16.153966406937343,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.153966406937343,"endHours":17.153966406937343,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.153966406937343,"endHours":18.153966406937343,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.153966406937343,"endHours":19.153966406937343,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.153966406937343,"endHours":20.153966406937343,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.153966406937343,"endHours":21.153966406937343,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.153966406937343,"endHours":22.153966406937343,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.153966406937343,"endHours":23.153966406937343,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.153966406937343,"endHours":24.153966406937343,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.153966406937343,"endHours":25.153966406937343,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.153966406937343,"endHours":26.153966406937343,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.153966406937343,"endHours":27.153966406937343,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.153966406937343,"endHours":28.153966406937343,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.153966406937343,"endHours":29.153966406937343,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.153966406937343,"endHours":30.153966406937343,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.153966406937343,"endHours":31.153966406937343,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.941480281452037,"eotMinutes":-13.172121972714217,"ayanamsa":24.9018}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Dvādaśī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 29, 2075 CE · Ṛṣikeśa · Vidhyamitra","description":"January 29, 2075 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:09, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2075-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2075-01-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2075-01-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2075-01-29","x-default":"https://vidhyamitra.com/city/rishikesh/2075-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T13:06:21.974Z","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":"2026-05-18T13:06:21.974Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T13:06:21.974Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}