{"id":"vidhyamitra:city-day:rishikesh:2129-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2129-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-04-20","date_display":"April 20, 2129 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":2129,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498770.770833,"kali_year":5231,"ahargana":1910305.2708,"sun":{"sidereal_longitude":4.2099,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":21.7965,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.5866,"elapsed_within_tithi_degrees":5.5866},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.7965,"elapsed_within_degrees":8.4632},"yoga":{"number":2,"name":"Prīti","sum_longitude":26.0064},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2129,"month":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498770.770833,"ahargana":1910305.2708,"kali_year":5231,"ayanamsa_lahiri":25.6592,"grahas":{"sun":{"sidereal_longitude":4.393139000000019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":20.06323900000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-4.4166},"mars":{"sidereal_longitude":269.025439,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":358.670839,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":336.475439,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":316.967939,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":170.47303899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":122.8337,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":302.8337,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"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":2129,"month":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498770.770833,"kali_year":5231,"ahargana":1910305.2708,"sun":{"sidereal_longitude":4.2099,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":21.7965,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.5866,"elapsed_within_tithi_degrees":5.5866},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.7965,"elapsed_within_degrees":8.4632},"yoga":{"number":2,"name":"Prīti","sum_longitude":26.0064},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.417,"elongation":17.587},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.417,"opposition_distance":162.413}},"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":"05:45","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.033751925561788,"dayLengthDisplay":"13 Hours 02 Mins 02 Secs","nightLengthDisplay":"10 Hours 57 Mins 58 Secs","moonriseLocal":"06:36","moonsetLocal":"20:01","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.895249599601208,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:23","end":"09:00","startHours":7.3783736368203146,"endHours":9.007592627515539,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:38","end":"12:16","startHours":10.63681161821076,"endHours":12.266030608905986,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.790363428756175,"endHours":9.224821826274901,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:38","startHours":6.292227643023499,"endHours":6.63979436103848,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.83157221138726,"endHours":12.700489006424712,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.0113210560501855,"endHours":4.880237851087639,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.663008652328275,"endHours":5.749154646125091,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.438322596499617,"endHours":15.30723939153707,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.58290657168688,"endHours":18.98290657168688,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.78290657168688,"endHours":19.32597956858529,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.53290657168688,"endHours":20.28290657168688,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.83157221138726,"endHours":24.70048900642471,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:45","end":"07:23","startHours":5.749154646125091,"endHours":7.3783736368203146,"quality":"auspicious"},{"name":"Amṛta","start":"07:23","end":"09:00","startHours":7.3783736368203146,"endHours":9.007592627515539,"quality":"auspicious"},{"name":"Kāla","start":"09:00","end":"10:38","startHours":9.007592627515539,"endHours":10.63681161821076,"quality":"inauspicious"},{"name":"Śubha","start":"10:38","end":"12:16","startHours":10.63681161821076,"endHours":12.266030608905986,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.895249599601208,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:31","startHours":13.895249599601208,"endHours":15.524468590296433,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:09","startHours":15.524468590296433,"endHours":17.153687580991654,"quality":"neutral"},{"name":"Labha","start":"17:09","end":"18:47","startHours":17.153687580991654,"endHours":18.78290657168688,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:47","end":"20:09","startHours":18.78290657168688,"endHours":20.153687580991658,"quality":"inauspicious"},{"name":"Chala","start":"20:09","end":"21:31","startHours":20.153687580991658,"endHours":21.524468590296433,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:54","startHours":21.524468590296433,"endHours":22.895249599601208,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:16","startHours":22.895249599601208,"endHours":24.266030608905986,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.636811618210764,"quality":"inauspicious"},{"name":"Śubha","start":"01:38","end":"03:00","startHours":25.636811618210764,"endHours":27.00759262751554,"quality":"auspicious"},{"name":"Roga","start":"03:00","end":"04:23","startHours":27.00759262751554,"endHours":28.378373636820314,"quality":"inauspicious"},{"name":"Udveg","start":"04:23","end":"05:45","startHours":28.378373636820314,"endHours":29.749154646125092,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.749154646125091,"endHours":6.749154646125091,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.749154646125091,"endHours":7.749154646125091,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.749154646125091,"endHours":8.749154646125092,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.749154646125092,"endHours":9.749154646125092,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.749154646125092,"endHours":10.749154646125092,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.749154646125092,"endHours":11.749154646125092,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.749154646125092,"endHours":12.749154646125092,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.749154646125092,"endHours":13.749154646125092,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.749154646125092,"endHours":14.749154646125092,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.749154646125092,"endHours":15.749154646125092,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.749154646125092,"endHours":16.749154646125092,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.749154646125092,"endHours":17.749154646125092,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.749154646125092,"endHours":18.749154646125092,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.749154646125092,"endHours":19.749154646125092,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.749154646125092,"endHours":20.749154646125092,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.749154646125092,"endHours":21.749154646125092,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.749154646125092,"endHours":22.749154646125092,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.749154646125092,"endHours":23.749154646125092,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.749154646125092,"endHours":24.749154646125092,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.749154646125092,"endHours":25.749154646125092,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.749154646125092,"endHours":26.749154646125092,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.749154646125092,"endHours":27.749154646125092,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.749154646125092,"endHours":28.749154646125092,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.749154646125092,"endHours":29.749154646125092,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":11.489058261775002,"eotMinutes":0.9677634656409275,"ayanamsa":25.6592}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvitīyā · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 April 20, 2129 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 2129 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2129-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2129-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2129-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2129-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/2129-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T05:04:27.873Z","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":"2026-05-23T05:04:27.873Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T05:04:27.873Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}