{"id":"vidhyamitra:city-day:rishikesh:2082-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2082-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2082-04-29","date_display":"April 29, 2082 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":2082,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481613.770833,"kali_year":5184,"ahargana":1893148.2708,"sun":{"sidereal_longitude":14.0716,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":26.0577,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.9861,"elapsed_within_tithi_degrees":11.9861},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.0577,"elapsed_within_degrees":12.7244},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.1293},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2082,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481613.770833,"ahargana":1893148.2708,"kali_year":5184,"ayanamsa_lahiri":25.003,"grahas":{"sun":{"sidereal_longitude":14.189661999999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":24.761662,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.3289},"mars":{"sidereal_longitude":280.334662,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":23.02336200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":352.137862,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":44.10896200000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":311.735962,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":311.8941,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":131.8941,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2082,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481613.770833,"kali_year":5184,"ahargana":1893148.2708,"sun":{"sidereal_longitude":14.0716,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":26.0577,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":11.9861,"elapsed_within_tithi_degrees":11.9861},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.0577,"elapsed_within_degrees":12.7244},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":40.1293},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.329,"elongation":11.986},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.329,"opposition_distance":168.014}},"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":"05:36","sunsetLocal":"18:53","solarNoonLocal":"12:14","dayLengthHours":13.288053277280525,"dayLengthDisplay":"13 Hours 17 Mins 17 Secs","nightLengthDisplay":"10 Hours 42 Mins 43 Secs","moonriseLocal":"06:11","moonsetLocal":"19:42","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:54","startHours":12.23810093893215,"endHours":13.899107598592217,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:55","startHours":7.255080959951953,"endHours":8.916087619612018,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:14","startHours":10.577094279272085,"endHours":12.23810093893215,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:08","startHours":8.694620064990676,"endHours":9.137555174233361,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:30","startHours":6.147743186845243,"endHours":6.50209127423939,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:41","startHours":11.795165829689465,"endHours":12.681036048174834,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:42","startHours":3.8223338633211505,"endHours":4.708204081806519,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:29","end":"05:36","startHours":4.486736527185177,"endHours":5.594074300291887,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:20","startHours":14.45277648514557,"endHours":15.338646703630939,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.682127577572412,"endHours":19.08212757757241,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.882127577572412,"endHours":19.435796464125765,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.632127577572412,"endHours":20.382127577572412,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:41","startHours":23.795165829689466,"endHours":24.681036048174832,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:15","startHours":5.594074300291887,"endHours":7.255080959951953,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:55","startHours":7.255080959951953,"endHours":8.916087619612018,"quality":"auspicious"},{"name":"Kāla","start":"08:55","end":"10:35","startHours":8.916087619612018,"endHours":10.577094279272085,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:14","startHours":10.577094279272085,"endHours":12.23810093893215,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:54","startHours":12.23810093893215,"endHours":13.899107598592217,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:34","startHours":13.899107598592217,"endHours":15.56011425825228,"quality":"inauspicious"},{"name":"Chala","start":"15:34","end":"17:13","startHours":15.56011425825228,"endHours":17.221120917912348,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:53","startHours":17.221120917912348,"endHours":18.882127577572412,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:13","startHours":18.882127577572412,"endHours":20.221120917912344,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:34","startHours":20.221120917912344,"endHours":21.56011425825228,"quality":"neutral"},{"name":"Labha","start":"21:34","end":"22:54","startHours":21.56011425825228,"endHours":22.899107598592217,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:14","startHours":22.899107598592217,"endHours":24.23810093893215,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:35","startHours":24.23810093893215,"endHours":25.57709427927208,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:55","startHours":25.57709427927208,"endHours":26.916087619612018,"quality":"auspicious"},{"name":"Roga","start":"02:55","end":"04:15","startHours":26.916087619612018,"endHours":28.255080959951954,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:36","startHours":28.255080959951954,"endHours":29.594074300291886,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.594074300291887,"endHours":6.594074300291887,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.594074300291887,"endHours":7.594074300291887,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.594074300291887,"endHours":8.594074300291886,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.594074300291886,"endHours":9.594074300291886,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.594074300291886,"endHours":10.594074300291886,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.594074300291886,"endHours":11.594074300291886,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.594074300291886,"endHours":12.594074300291886,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.594074300291886,"endHours":13.594074300291886,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.594074300291886,"endHours":14.594074300291886,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.594074300291886,"endHours":15.594074300291886,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.594074300291886,"endHours":16.594074300291886,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.594074300291886,"endHours":17.594074300291886,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.594074300291886,"endHours":18.594074300291886,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.594074300291886,"endHours":19.594074300291886,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.594074300291886,"endHours":20.594074300291886,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.594074300291886,"endHours":21.594074300291886,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.594074300291886,"endHours":22.594074300291886,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.594074300291886,"endHours":23.594074300291886,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.594074300291886,"endHours":24.594074300291886,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.594074300291886,"endHours":25.594074300291886,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.594074300291886,"endHours":26.594074300291886,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.594074300291886,"endHours":27.594074300291886,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.594074300291886,"endHours":28.594074300291886,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.594074300291886,"endHours":29.594074300291886,"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"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.556766990673548,"eotMinutes":2.643543664071059,"ayanamsa":25.003}},"calendars":{"vikram_samvat":2139,"vikram_samvatsara":"Rākṣasa","saka_samvat":2004,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1489,"malayalam_era":1258,"nanakshahi_year":613,"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 Pratipada · Vikram 2139 Rākṣasa · Śaka 2004 Śubhakṛt"},"festivals":[],"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 29, 2082 CE · Ṛṣikeśa · Vidhyamitra","description":"April 29, 2082 CE for Ṛṣikeśa: Śukla Pratipada, sūryodaya 05:36, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2082-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2082-04-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/2082-04-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/2082-04-29","x-default":"https://vidhyamitra.com/city/rishikesh/2082-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:41:56.241Z","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":"2026-05-31T06:41:56.241Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:41:56.241Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}