{"id":"vidhyamitra:city-day:rishikesh:2177-04-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2177-04-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2177-04-21","date_display":"April 21, 2177 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":2177,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516303.770833,"kali_year":5279,"ahargana":1927838.2708,"sun":{"sidereal_longitude":4.7742,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":274.8113,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.037,"elapsed_within_tithi_degrees":6.037},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.8113,"elapsed_within_degrees":8.1446},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.5855},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2177,"month":4,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516303.770833,"ahargana":1927838.2708,"kali_year":5279,"ayanamsa_lahiri":26.3298,"grahas":{"sun":{"sidereal_longitude":5.071848999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":273.224149,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.0753},"mars":{"sidereal_longitude":47.522649,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":337.478549,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":350.969849,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":316.303849,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":26.061149,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":273.851,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":93.851,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":2177,"month":4,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516303.770833,"kali_year":5279,"ahargana":1927838.2708,"sun":{"sidereal_longitude":4.7742,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":274.8113,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.037,"elapsed_within_tithi_degrees":6.037},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.8113,"elapsed_within_degrees":8.1446},"yoga":{"number":21,"name":"Siddha","sum_longitude":279.5855},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.075,"elongation":89.963},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.075,"opposition_distance":90.037}},"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":"05:44","sunsetLocal":"18:48","solarNoonLocal":"12:16","dayLengthHours":13.072305067592248,"dayLengthDisplay":"13 Hours 04 Mins 20 Secs","nightLengthDisplay":"10 Hours 55 Mins 40 Secs","moonriseLocal":"00:55","moonsetLocal":"11:22","rahuKala":{"name":"Rāhu Kāla","start":"07:22","end":"09:00","startHours":7.360256785633536,"endHours":8.994294919082567,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:16","startHours":10.628333052531598,"endHours":12.26237118598063,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:32","startHours":13.89640931942966,"endHours":15.530447452878692,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.776423167956029,"endHours":9.212166670209104,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.270898030000849,"endHours":6.619492831803309,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.826627683727555,"endHours":12.698114688233705,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:51","startHours":3.9832446431722053,"endHours":4.854731647678355,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:38","end":"05:44","startHours":4.636859896551817,"endHours":5.726218652184505,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:19","startHours":14.441088697246004,"endHours":15.312575701752154,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.598523719776754,"endHours":18.998523719776752,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:21","startHours":18.798523719776753,"endHours":19.343203097593097,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.548523719776753,"endHours":20.298523719776753,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.826627683727555,"endHours":24.698114688233705,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:44","end":"07:22","startHours":5.726218652184505,"endHours":7.360256785633536,"quality":"auspicious"},{"name":"Kāla","start":"07:22","end":"09:00","startHours":7.360256785633536,"endHours":8.994294919082567,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:38","startHours":8.994294919082567,"endHours":10.628333052531598,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:16","startHours":10.628333052531598,"endHours":12.26237118598063,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:54","startHours":12.26237118598063,"endHours":13.89640931942966,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:32","startHours":13.89640931942966,"endHours":15.530447452878692,"quality":"neutral"},{"name":"Labha","start":"15:32","end":"17:10","startHours":15.530447452878692,"endHours":17.16448558632772,"quality":"auspicious"},{"name":"Amṛta","start":"17:10","end":"18:48","startHours":17.16448558632772,"endHours":18.798523719776753,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:48","end":"20:10","startHours":18.798523719776753,"endHours":20.16448558632772,"quality":"neutral"},{"name":"Labha","start":"20:10","end":"21:32","startHours":20.16448558632772,"endHours":21.53044745287869,"quality":"auspicious"},{"name":"Amṛta","start":"21:32","end":"22:54","startHours":21.53044745287869,"endHours":22.896409319429658,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:16","startHours":22.896409319429658,"endHours":24.26237118598063,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:38","startHours":24.26237118598063,"endHours":25.628333052531598,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:00","startHours":25.628333052531598,"endHours":26.994294919082567,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:22","startHours":26.994294919082567,"endHours":28.36025678563354,"quality":"inauspicious"},{"name":"Chala","start":"04:22","end":"05:44","startHours":28.36025678563354,"endHours":29.726218652184507,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.726218652184505,"endHours":6.726218652184505,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.726218652184505,"endHours":7.726218652184505,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.726218652184505,"endHours":8.726218652184505,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.726218652184505,"endHours":9.726218652184505,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.726218652184505,"endHours":10.726218652184505,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.726218652184505,"endHours":11.726218652184505,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.726218652184505,"endHours":12.726218652184505,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.726218652184505,"endHours":13.726218652184505,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.726218652184505,"endHours":14.726218652184505,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.726218652184505,"endHours":15.726218652184505,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.726218652184505,"endHours":16.726218652184507,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.726218652184507,"endHours":17.726218652184507,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.726218652184507,"endHours":18.726218652184507,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.726218652184507,"endHours":19.726218652184507,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.726218652184507,"endHours":20.726218652184507,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.726218652184507,"endHours":21.726218652184507,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.726218652184507,"endHours":22.726218652184507,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.726218652184507,"endHours":23.726218652184507,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.726218652184507,"endHours":24.726218652184507,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.726218652184507,"endHours":25.726218652184507,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.726218652184507,"endHours":26.726218652184507,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.726218652184507,"endHours":27.726218652184507,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.726218652184507,"endHours":28.726218652184507,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.726218652184507,"endHours":29.726218652184507,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.960202013101398,"eotMinutes":1.1873288411622274,"ayanamsa":26.3298}},"calendars":{"vikram_samvat":2234,"vikram_samvatsara":"Vikṛti","saka_samvat":2099,"saka_samvatsara":"Īśvara","bengali_samvat":1584,"malayalam_era":1353,"nanakshahi_year":708,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Aṣṭamī · Vikram 2234 Vikṛti · Śaka 2099 Īśvara"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 21, 2177 CE · Ṛṣikeśa · Vidhyamitra","description":"April 21, 2177 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 05:44, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2177-04-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2177-04-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2177-04-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2177-04-21","x-default":"https://vidhyamitra.com/city/rishikesh/2177-04-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:06:10.295Z","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":"2026-06-02T07:06:10.295Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:06:10.295Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}