{"id":"vidhyamitra:city-day:rishikesh:1987-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1987-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-04-29","date_display":"April 29, 1987 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":1987,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446914.770833,"kali_year":5089,"ahargana":1858449.2708,"sun":{"sidereal_longitude":14.6344,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.3613,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.7269,"elapsed_within_tithi_degrees":1.7269},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3613,"elapsed_within_degrees":1.6946},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.9957},"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":1987,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446914.770833,"ahargana":1858449.2708,"kali_year":5089,"ayanamsa_lahiri":23.6759,"grahas":{"sun":{"sidereal_longitude":14.532718999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.01141899999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":2.7654},"mars":{"sidereal_longitude":52.06721900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":5.1182190000000105,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":350.755219,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":344.224319,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":236.48551899999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":350.4141,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":170.4141,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1987,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446914.770833,"kali_year":5089,"ahargana":1858449.2708,"sun":{"sidereal_longitude":14.6344,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":28.3613,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.7269,"elapsed_within_tithi_degrees":1.7269},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":28.3613,"elapsed_within_degrees":1.6946},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":42.9957},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.765,"elongation":13.727},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.765,"opposition_distance":166.273}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":-0.548,"opposition_distance":1.846}]},"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":"18:52","solarNoonLocal":"12:14","dayLengthHours":13.261531071393591,"dayLengthDisplay":"13 Hours 15 Mins 42 Secs","nightLengthDisplay":"10 Hours 44 Mins 18 Secs","moonriseLocal":"06:15","moonsetLocal":"19:46","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:54","startHours":12.23810093893215,"endHours":13.895792322856348,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:55","startHours":7.2650267871595515,"endHours":8.922718171083751,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:14","startHours":10.58040955500795,"endHours":12.23810093893215,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:09","startHours":8.701692653227191,"endHours":9.14374368894031,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:31","startHours":6.1598991978767526,"endHours":6.513540026447249,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:41","startHours":11.79604990321903,"endHours":12.680151974645268,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:43","startHours":3.8391312603828736,"endHours":4.723233331809113,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:36","startHours":4.502207813952554,"endHours":5.607335403235353,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:20","startHours":14.448356117497745,"endHours":15.332458188923985,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.668866474628945,"endHours":19.068866474628944,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.868866474628945,"endHours":19.421430269270346,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.618866474628945,"endHours":20.368866474628945,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:41","startHours":23.79604990321903,"endHours":24.68015197464527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:16","startHours":5.607335403235353,"endHours":7.2650267871595515,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:55","startHours":7.2650267871595515,"endHours":8.922718171083751,"quality":"auspicious"},{"name":"Kāla","start":"08:55","end":"10:35","startHours":8.922718171083751,"endHours":10.58040955500795,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:14","startHours":10.58040955500795,"endHours":12.23810093893215,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:54","startHours":12.23810093893215,"endHours":13.895792322856348,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:33","startHours":13.895792322856348,"endHours":15.553483706780547,"quality":"inauspicious"},{"name":"Chala","start":"15:33","end":"17:13","startHours":15.553483706780547,"endHours":17.211175090704746,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:52","startHours":17.211175090704746,"endHours":18.868866474628945,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:52","end":"20:13","startHours":18.868866474628945,"endHours":20.211175090704746,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:33","startHours":20.211175090704746,"endHours":21.553483706780547,"quality":"neutral"},{"name":"Labha","start":"21:33","end":"22:54","startHours":21.553483706780547,"endHours":22.895792322856348,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:14","startHours":22.895792322856348,"endHours":24.23810093893215,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:35","startHours":24.23810093893215,"endHours":25.58040955500795,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:55","startHours":25.58040955500795,"endHours":26.92271817108375,"quality":"auspicious"},{"name":"Roga","start":"02:55","end":"04:16","startHours":26.92271817108375,"endHours":28.265026787159552,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:36","startHours":28.265026787159552,"endHours":29.607335403235354,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.607335403235353,"endHours":6.607335403235353,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.607335403235353,"endHours":7.607335403235353,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.607335403235353,"endHours":8.607335403235354,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.607335403235354,"endHours":9.607335403235354,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.607335403235354,"endHours":10.607335403235354,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.607335403235354,"endHours":11.607335403235354,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.607335403235354,"endHours":12.607335403235354,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.607335403235354,"endHours":13.607335403235354,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.607335403235354,"endHours":14.607335403235354,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.607335403235354,"endHours":15.607335403235354,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.607335403235354,"endHours":16.607335403235354,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.607335403235354,"endHours":17.607335403235354,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.607335403235354,"endHours":18.607335403235354,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.607335403235354,"endHours":19.607335403235354,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.607335403235354,"endHours":20.607335403235354,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.607335403235354,"endHours":21.607335403235354,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.607335403235354,"endHours":22.607335403235354,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.607335403235354,"endHours":23.607335403235354,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.607335403235354,"endHours":24.607335403235354,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.607335403235354,"endHours":25.607335403235354,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.607335403235354,"endHours":26.607335403235354,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.607335403235354,"endHours":27.607335403235354,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.607335403235354,"endHours":28.607335403235354,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.607335403235354,"endHours":29.607335403235354,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","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":14.241417643703807,"eotMinutes":2.643543664071059,"ayanamsa":23.6759}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"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 Dvitīyā · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 29, 1987 CE · Ṛṣikeśa · Vidhyamitra","description":"April 29, 1987 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:36, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1987-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1987-04-29","sa":"https://sa.vidhyamitra.com/city/rishikesh/1987-04-29","hi":"https://hi.vidhyamitra.com/city/rishikesh/1987-04-29","x-default":"https://vidhyamitra.com/city/rishikesh/1987-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:28:06.374Z","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":"2026-05-31T15:28:06.374Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:28:06.374Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}