{"id":"vidhyamitra:city-day:rishikesh:2050-03-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-03-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-03-29","date_display":"March 29, 2050 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469894.770833,"kali_year":5151,"ahargana":1881429.2708,"sun":{"sidereal_longitude":344.0506,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":59.2603,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.2097,"elapsed_within_tithi_degrees":3.2097},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.2603,"elapsed_within_degrees":5.927},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.3109},"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":2050,"month":3,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469894.770833,"ahargana":1881429.2708,"kali_year":5151,"ayanamsa_lahiri":24.5548,"grahas":{"sun":{"sidereal_longitude":343.99501399999997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":61.01591400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-2.0018},"mars":{"sidereal_longitude":256.72341400000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":1.9649140000000216,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":89.18131399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":4.726214000000027,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":281.637914,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":212.8232,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.8232,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469894.770833,"kali_year":5151,"ahargana":1881429.2708,"sun":{"sidereal_longitude":344.0506,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":59.2603,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.2097,"elapsed_within_tithi_degrees":3.2097},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.2603,"elapsed_within_degrees":5.927},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.3109},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.002,"elongation":75.21},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.002,"opposition_distance":104.79}},"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":"06:11","sunsetLocal":"18:34","solarNoonLocal":"12:22","dayLengthHours":12.390928550984896,"dayLengthDisplay":"12 Hours 23 Mins 27 Secs","nightLengthDisplay":"11 Hours 36 Mins 33 Secs","moonriseLocal":"10:29","moonsetLocal":"00:31","rahuKala":{"name":"Rāhu Kāla","start":"15:28","end":"17:01","startHours":15.468225633529176,"endHours":17.01709170240229,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:16","end":"10:49","startHours":9.272761358036728,"endHours":10.821627426909842,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:55","startHours":12.370493495782952,"endHours":13.919359564656066,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:29","startHours":9.06624588218698,"endHours":9.479276833886477,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.691317909914876,"endHours":7.021742671274473,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:47","startHours":11.957462544083455,"endHours":12.78352444748245,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:31","end":"05:21","startHours":4.522905413492519,"endHours":5.348967316891512,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:11","startHours":5.142451841041764,"endHours":6.175029220290505,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:16","startHours":14.435648254280434,"endHours":15.261710157679426,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.3659577712754,"endHours":18.7659577712754,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:05","startHours":18.5659577712754,"endHours":19.08224646089977,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.3159577712754,"endHours":20.0659577712754,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:47","startHours":23.957462544083455,"endHours":24.78352444748245,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:11","end":"07:43","startHours":6.175029220290505,"endHours":7.723895289163617,"quality":"inauspicious"},{"name":"Udveg","start":"07:43","end":"09:16","startHours":7.723895289163617,"endHours":9.272761358036728,"quality":"inauspicious"},{"name":"Chala","start":"09:16","end":"10:49","startHours":9.272761358036728,"endHours":10.821627426909842,"quality":"neutral"},{"name":"Labha","start":"10:49","end":"12:22","startHours":10.821627426909842,"endHours":12.370493495782952,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:55","startHours":12.370493495782952,"endHours":13.919359564656066,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:28","startHours":13.919359564656066,"endHours":15.468225633529176,"quality":"inauspicious"},{"name":"Śubha","start":"15:28","end":"17:01","startHours":15.468225633529176,"endHours":17.01709170240229,"quality":"auspicious"},{"name":"Roga","start":"17:01","end":"18:34","startHours":17.01709170240229,"endHours":18.5659577712754,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:34","end":"20:01","startHours":18.5659577712754,"endHours":20.01709170240229,"quality":"inauspicious"},{"name":"Śubha","start":"20:01","end":"21:28","startHours":20.01709170240229,"endHours":21.468225633529176,"quality":"auspicious"},{"name":"Roga","start":"21:28","end":"22:55","startHours":21.468225633529176,"endHours":22.919359564656062,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:22","startHours":22.919359564656062,"endHours":24.370493495782952,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"01:49","startHours":24.370493495782952,"endHours":25.821627426909842,"quality":"neutral"},{"name":"Labha","start":"01:49","end":"03:16","startHours":25.821627426909842,"endHours":27.27276135803673,"quality":"auspicious"},{"name":"Amṛta","start":"03:16","end":"04:43","startHours":27.27276135803673,"endHours":28.723895289163615,"quality":"auspicious"},{"name":"Kāla","start":"04:43","end":"06:11","startHours":28.723895289163615,"endHours":30.175029220290504,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.175029220290505,"endHours":7.175029220290505,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.175029220290505,"endHours":8.175029220290504,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.175029220290504,"endHours":9.175029220290504,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.175029220290504,"endHours":10.175029220290504,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.175029220290504,"endHours":11.175029220290504,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.175029220290504,"endHours":12.175029220290504,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.175029220290504,"endHours":13.175029220290504,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.175029220290504,"endHours":14.175029220290504,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.175029220290504,"endHours":15.175029220290504,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.175029220290504,"endHours":16.175029220290504,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.175029220290504,"endHours":17.175029220290504,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.175029220290504,"endHours":18.175029220290504,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.175029220290504,"endHours":19.175029220290504,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.175029220290504,"endHours":20.175029220290504,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.175029220290504,"endHours":21.175029220290504,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.175029220290504,"endHours":22.175029220290504,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.175029220290504,"endHours":23.175029220290504,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.175029220290504,"endHours":24.175029220290504,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.175029220290504,"endHours":25.175029220290504,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.175029220290504,"endHours":26.175029220290504,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.175029220290504,"endHours":27.175029220290504,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.175029220290504,"endHours":28.175029220290504,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.175029220290504,"endHours":29.175029220290504,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.175029220290504,"endHours":30.175029220290504,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.3899098460685115,"eotMinutes":-5.300009746977087,"ayanamsa":24.5548}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Saptamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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 March 29, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"March 29, 2050 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:11, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-03-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-03-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-03-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-03-29","x-default":"https://vidhyamitra.com/city/rishikesh/2050-03-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-09T13:23:25.352Z","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":"2026-08-09T13:23:25.352Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-09T13:23:25.352Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single 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","reader-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"}}}