{"id":"vidhyamitra:city-day:rishikesh:2096-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2096-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2096-01-29","date_display":"January 29, 2096 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":2096,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486636.770833,"kali_year":5197,"ahargana":1898171.2708,"sun":{"sidereal_longitude":283.7086,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":329.3608,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.6522,"elapsed_within_tithi_degrees":9.6522},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.3608,"elapsed_within_degrees":9.3608},"yoga":{"number":19,"name":"Parigha","sum_longitude":253.0694},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2096,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2486636.770833,"ahargana":1898171.2708,"kali_year":5197,"ayanamsa_lahiri":25.1951,"grahas":{"sun":{"sidereal_longitude":283.94644700000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":331.053947,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.3734},"mars":{"sidereal_longitude":335.085047,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":260.44224699999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":39.355547,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":256.09364700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":127.343347,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":45.7514,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":225.7514,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"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":2096,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2486636.770833,"kali_year":5197,"ahargana":1898171.2708,"sun":{"sidereal_longitude":283.7086,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":329.3608,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":45.6522,"elapsed_within_tithi_degrees":9.6522},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.3608,"elapsed_within_degrees":9.3608},"yoga":{"number":19,"name":"Parigha","sum_longitude":253.0694},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.373,"elongation":45.652},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.373,"opposition_distance":134.348}},"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":"07:09","sunsetLocal":"17:51","solarNoonLocal":"12:30","dayLengthHours":10.693227257535723,"dayLengthDisplay":"10 Hours 41 Mins 36 Secs","nightLengthDisplay":"13 Hours 18 Mins 24 Secs","moonriseLocal":"09:39","moonsetLocal":"21:38","rahuKala":{"name":"Rāhu Kāla","start":"16:31","end":"17:51","startHours":16.5116555877878,"endHours":17.848308994979767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:30","end":"13:50","startHours":12.501695366211905,"endHours":13.838348773403872,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:11","end":"16:31","startHours":15.175002180595836,"endHours":16.5116555877878,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.650168097535714,"endHours":10.006609006120238,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.6006328731747,"endHours":7.885785600042319,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.14525445762738,"endHours":12.85813627479643,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.729318103105948,"endHours":6.442199920274996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:09","startHours":6.263979465982734,"endHours":7.1550817374440445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.283899909134526,"endHours":14.996781726303574,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.648308994979768,"endHours":18.048308994979767,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.848308994979767,"endHours":18.29386013071042,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.598308994979767,"endHours":19.348308994979767,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.14525445762738,"endHours":24.85813627479643,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:30","startHours":7.1550817374440445,"endHours":8.49173514463601,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.49173514463601,"endHours":9.828388551827976,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.828388551827976,"endHours":11.165041959019941,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:30","startHours":11.165041959019941,"endHours":12.501695366211905,"quality":"auspicious"},{"name":"Kāla","start":"12:30","end":"13:50","startHours":12.501695366211905,"endHours":13.838348773403872,"quality":"inauspicious"},{"name":"Śubha","start":"13:50","end":"15:11","startHours":13.838348773403872,"endHours":15.175002180595836,"quality":"auspicious"},{"name":"Roga","start":"15:11","end":"16:31","startHours":15.175002180595836,"endHours":16.5116555877878,"quality":"inauspicious"},{"name":"Udveg","start":"16:31","end":"17:51","startHours":16.5116555877878,"endHours":17.848308994979767,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:51","end":"19:31","startHours":17.848308994979767,"endHours":19.511655587787804,"quality":"auspicious"},{"name":"Roga","start":"19:31","end":"21:11","startHours":19.511655587787804,"endHours":21.175002180595836,"quality":"inauspicious"},{"name":"Udveg","start":"21:11","end":"22:50","startHours":21.175002180595836,"endHours":22.838348773403872,"quality":"inauspicious"},{"name":"Chala","start":"22:50","end":"00:30","startHours":22.838348773403872,"endHours":24.501695366211905,"quality":"neutral"},{"name":"Labha","start":"00:30","end":"02:10","startHours":24.501695366211905,"endHours":26.16504195901994,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.16504195901994,"endHours":27.828388551827977,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.828388551827977,"endHours":29.49173514463601,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:09","startHours":29.49173514463601,"endHours":31.155081737444043,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.1550817374440445,"endHours":8.155081737444045,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.155081737444045,"endHours":9.155081737444045,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.155081737444045,"endHours":10.155081737444045,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.155081737444045,"endHours":11.155081737444045,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.155081737444045,"endHours":12.155081737444045,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.155081737444045,"endHours":13.155081737444045,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.155081737444045,"endHours":14.155081737444045,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.155081737444045,"endHours":15.155081737444045,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.155081737444045,"endHours":16.155081737444043,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.155081737444043,"endHours":17.155081737444043,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.155081737444043,"endHours":18.155081737444043,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.155081737444043,"endHours":19.155081737444043,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.155081737444043,"endHours":20.155081737444043,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.155081737444043,"endHours":21.155081737444043,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.155081737444043,"endHours":22.155081737444043,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.155081737444043,"endHours":23.155081737444043,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.155081737444043,"endHours":24.155081737444043,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.155081737444043,"endHours":25.155081737444043,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.155081737444043,"endHours":26.155081737444043,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.155081737444043,"endHours":27.155081737444043,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.155081737444043,"endHours":28.155081737444043,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.155081737444043,"endHours":29.155081737444043,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.155081737444043,"endHours":30.155081737444043,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.155081737444043,"endHours":31.155081737444043,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-17.96746380363101,"eotMinutes":-13.172121972714217,"ayanamsa":25.1951}},"calendars":{"vikram_samvat":2153,"vikram_samvatsara":"Śukla","saka_samvat":2018,"saka_samvatsara":"Nala","bengali_samvat":1503,"malayalam_era":1272,"nanakshahi_year":627,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 2153 Śukla · Śaka 2018 Nala"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2096 CE · Ṛṣikeśa · Vidhyamitra","description":"January 29, 2096 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:09, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2096-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2096-01-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2096-01-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2096-01-29","x-default":"https://vidhyamitra.com/city/rishikesh/2096-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T08:01:56.010Z","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":"2026-05-20T08:01:56.010Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T08:01:56.010Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}