{"id":"vidhyamitra:city-day:rishikesh:2159-04-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2159-04-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-04-24","date_display":"April 24, 2159 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":2159,"month":4,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509731.770833,"kali_year":5261,"ahargana":1921266.2708,"sun":{"sidereal_longitude":7.3587,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":82.0343,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.6756,"elapsed_within_tithi_degrees":2.6756},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.0343,"elapsed_within_degrees":2.0343},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.3929},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2159,"month":4,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509731.770833,"ahargana":1921266.2708,"kali_year":5261,"ayanamsa_lahiri":26.0784,"grahas":{"sun":{"sidereal_longitude":7.6262479999999755,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":84.830848,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":0.0026},"mars":{"sidereal_longitude":244.60394799999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":6.812948000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":158.73794799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":51.02314799999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":176.89114800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":262.0672,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":82.0672,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2159,"month":4,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509731.770833,"kali_year":5261,"ahargana":1921266.2708,"sun":{"sidereal_longitude":7.3587,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":82.0343,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.6756,"elapsed_within_tithi_degrees":2.6756},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.0343,"elapsed_within_degrees":2.0343},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.3929},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.003,"elongation":74.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.003,"opposition_distance":105.324}},"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":"05:41","sunsetLocal":"18:49","solarNoonLocal":"12:15","dayLengthHours":13.137364977814308,"dayLengthDisplay":"13 Hours 08 Mins 15 Secs","nightLengthDisplay":"10 Hours 51 Mins 45 Secs","moonriseLocal":"10:27","moonsetLocal":"00:21","rahuKala":{"name":"Rāhu Kāla","start":"15:32","end":"17:11","startHours":15.536536764474025,"endHours":17.178707386700815,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:58","end":"10:37","startHours":8.967854275566872,"endHours":10.61002489779366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"13:54","startHours":12.25219552002045,"endHours":13.89436614224724,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:11","startHours":8.748898192603301,"endHours":9.186810358530444,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.230903238522225,"endHours":6.5812329712639395,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:41","startHours":11.814283354093307,"endHours":12.690107685947593,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:48","startHours":3.931864367404721,"endHours":4.807688699259009,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:41","startHours":4.588732616295436,"endHours":5.6835130311132955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:19","startHours":14.441756349656167,"endHours":15.317580681510455,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.620878008927605,"endHours":19.020878008927603,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:22","startHours":18.820878008927604,"endHours":19.368268216336535,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.570878008927604,"endHours":20.320878008927604,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:41","startHours":23.814283354093305,"endHours":24.690107685947595,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:41","end":"07:20","startHours":5.6835130311132955,"endHours":7.325683653340084,"quality":"inauspicious"},{"name":"Udveg","start":"07:20","end":"08:58","startHours":7.325683653340084,"endHours":8.967854275566872,"quality":"inauspicious"},{"name":"Chala","start":"08:58","end":"10:37","startHours":8.967854275566872,"endHours":10.61002489779366,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"12:15","startHours":10.61002489779366,"endHours":12.25219552002045,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"13:54","startHours":12.25219552002045,"endHours":13.89436614224724,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:32","startHours":13.89436614224724,"endHours":15.536536764474025,"quality":"inauspicious"},{"name":"Śubha","start":"15:32","end":"17:11","startHours":15.536536764474025,"endHours":17.178707386700815,"quality":"auspicious"},{"name":"Roga","start":"17:11","end":"18:49","startHours":17.178707386700815,"endHours":18.820878008927604,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:49","end":"20:11","startHours":18.820878008927604,"endHours":20.178707386700815,"quality":"inauspicious"},{"name":"Śubha","start":"20:11","end":"21:32","startHours":20.178707386700815,"endHours":21.53653676447403,"quality":"auspicious"},{"name":"Roga","start":"21:32","end":"22:54","startHours":21.53653676447403,"endHours":22.89436614224724,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:15","startHours":22.89436614224724,"endHours":24.25219552002045,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:37","startHours":24.25219552002045,"endHours":25.61002489779366,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"02:58","startHours":25.61002489779366,"endHours":26.96785427556687,"quality":"auspicious"},{"name":"Amṛta","start":"02:58","end":"04:20","startHours":26.96785427556687,"endHours":28.325683653340086,"quality":"auspicious"},{"name":"Kāla","start":"04:20","end":"05:41","startHours":28.325683653340086,"endHours":29.683513031113296,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.6835130311132955,"endHours":6.6835130311132955,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.6835130311132955,"endHours":7.6835130311132955,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.6835130311132955,"endHours":8.683513031113296,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.683513031113296,"endHours":9.683513031113296,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.683513031113296,"endHours":10.683513031113296,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.683513031113296,"endHours":11.683513031113296,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.683513031113296,"endHours":12.683513031113296,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.683513031113296,"endHours":13.683513031113296,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.683513031113296,"endHours":14.683513031113296,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.683513031113296,"endHours":15.683513031113296,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.683513031113296,"endHours":16.683513031113296,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.683513031113296,"endHours":17.683513031113296,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.683513031113296,"endHours":18.683513031113296,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.683513031113296,"endHours":19.683513031113296,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.683513031113296,"endHours":20.683513031113296,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.683513031113296,"endHours":21.683513031113296,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.683513031113296,"endHours":22.683513031113296,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.683513031113296,"endHours":23.683513031113296,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.683513031113296,"endHours":24.683513031113296,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.683513031113296,"endHours":25.683513031113296,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.683513031113296,"endHours":26.683513031113296,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.683513031113296,"endHours":27.683513031113296,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.683513031113296,"endHours":28.683513031113296,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.683513031113296,"endHours":29.683513031113296,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.750531467200396,"eotMinutes":1.7978687987730522,"ayanamsa":26.0784}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","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 Śukla Saptamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"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":"Dedicated festival walk for Gaṅgā Saptamī is not live yet; 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 April 24, 2159 CE · Ṛṣikeśa · Vidhyamitra","description":"April 24, 2159 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 05:41, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2159-04-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2159-04-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2159-04-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2159-04-24","x-default":"https://vidhyamitra.com/city/rishikesh/2159-04-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-18T03:51:04.054Z","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":"2026-06-18T03:51:04.054Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-18T03:51:04.054Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no founder-city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","Divyāṁśa-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}