{"id":"vidhyamitra:city-day:rishikesh:1987-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1987-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-05-15","date_display":"May 15, 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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446930.770833,"kali_year":5089,"ahargana":1858465.2708,"sun":{"sidereal_longitude":30.0367,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":228.7176,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.681,"elapsed_within_tithi_degrees":6.681},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.7176,"elapsed_within_degrees":2.051},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.7543},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446930.770833,"ahargana":1858465.2708,"kali_year":5089,"ayanamsa_lahiri":23.6765,"grahas":{"sun":{"sidereal_longitude":30.022008000000028,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":230.614508,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":-3.8623},"mars":{"sidereal_longitude":62.57320800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":39.20640800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":354.338108,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":3.5655080000000225,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":235.62830800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":349.5664,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.5664,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"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":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446930.770833,"kali_year":5089,"ahargana":1858465.2708,"sun":{"sidereal_longitude":30.0367,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":228.7176,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":198.681,"elapsed_within_tithi_degrees":6.681},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.7176,"elapsed_within_degrees":2.051},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.7543},"karana":{"half_tithi_index":33,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.862,"elongation":161.319},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.862,"opposition_distance":18.681}},"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":"05:24","sunsetLocal":"19:03","solarNoonLocal":"12:13","dayLengthHours":13.645969898196965,"dayLengthDisplay":"13 Hours 38 Mins 45 Secs","nightLengthDisplay":"10 Hours 21 Mins 15 Secs","moonriseLocal":"20:28","moonsetLocal":"06:43","rahuKala":{"name":"Rāhu Kāla","start":"10:31","end":"12:13","startHours":10.513810413793276,"endHours":12.219556651067897,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:20","startHours":15.631049125617139,"endHours":17.33679536289176,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:06","end":"08:48","startHours":7.1023179392440365,"endHours":8.808064176518657,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.58063134488204,"endHours":9.035497008155273,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.965153781060955,"endHours":6.329046311679541,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.764690987794667,"endHours":12.67442231434113,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:29","startHours":3.577109048876487,"endHours":4.486840375422951,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.2594075437863355,"endHours":5.396571701969416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.493884967434058,"endHours":15.403616293980521,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:51","end":"19:15","startHours":18.84254160016638,"endHours":19.24254160016638,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:03","end":"19:37","startHours":19.04254160016638,"endHours":19.611123679257922,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:48","end":"20:33","startHours":18.79254160016638,"endHours":20.54254160016638,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.764690987794665,"endHours":24.67442231434113,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:06","startHours":5.396571701969416,"endHours":7.1023179392440365,"quality":"neutral"},{"name":"Labha","start":"07:06","end":"08:48","startHours":7.1023179392440365,"endHours":8.808064176518657,"quality":"auspicious"},{"name":"Amṛta","start":"08:48","end":"10:31","startHours":8.808064176518657,"endHours":10.513810413793276,"quality":"auspicious"},{"name":"Kāla","start":"10:31","end":"12:13","startHours":10.513810413793276,"endHours":12.219556651067897,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"13:56","startHours":12.219556651067897,"endHours":13.925302888342518,"quality":"auspicious"},{"name":"Roga","start":"13:56","end":"15:38","startHours":13.925302888342518,"endHours":15.631049125617139,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:20","startHours":15.631049125617139,"endHours":17.33679536289176,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"19:03","startHours":17.33679536289176,"endHours":19.04254160016638,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:03","end":"20:20","startHours":19.04254160016638,"endHours":20.33679536289176,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:38","startHours":20.33679536289176,"endHours":21.63104912561714,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:56","startHours":21.63104912561714,"endHours":22.925302888342518,"quality":"neutral"},{"name":"Labha","start":"22:56","end":"00:13","startHours":22.925302888342518,"endHours":24.219556651067897,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:31","startHours":24.219556651067897,"endHours":25.513810413793276,"quality":"auspicious"},{"name":"Kāla","start":"01:31","end":"02:48","startHours":25.513810413793276,"endHours":26.808064176518656,"quality":"inauspicious"},{"name":"Śubha","start":"02:48","end":"04:06","startHours":26.808064176518656,"endHours":28.10231793924404,"quality":"auspicious"},{"name":"Roga","start":"04:06","end":"05:24","startHours":28.10231793924404,"endHours":29.396571701969414,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.396571701969416,"endHours":6.396571701969416,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.396571701969416,"endHours":7.396571701969416,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.396571701969416,"endHours":8.396571701969416,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.396571701969416,"endHours":9.396571701969416,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.396571701969416,"endHours":10.396571701969416,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.396571701969416,"endHours":11.396571701969416,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.396571701969416,"endHours":12.396571701969416,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.396571701969416,"endHours":13.396571701969416,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.396571701969416,"endHours":14.396571701969416,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.396571701969416,"endHours":15.396571701969416,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.396571701969416,"endHours":16.396571701969414,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.396571701969414,"endHours":17.396571701969414,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.396571701969414,"endHours":18.396571701969414,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.396571701969414,"endHours":19.396571701969414,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.396571701969414,"endHours":20.396571701969414,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.396571701969414,"endHours":21.396571701969414,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.396571701969414,"endHours":22.396571701969414,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.396571701969414,"endHours":23.396571701969414,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.396571701969414,"endHours":24.396571701969414,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.396571701969414,"endHours":25.396571701969414,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.396571701969414,"endHours":26.396571701969414,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.396571701969414,"endHours":27.396571701969414,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.396571701969414,"endHours":28.396571701969414,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.396571701969414,"endHours":29.396571701969414,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.695446269789315,"eotMinutes":3.7562009359260493,"ayanamsa":23.6765}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Dvitīyā · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 May 15, 1987 CE · Ṛṣikeśa · Vidhyamitra","description":"May 15, 1987 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 05:24, sūryāsta 19:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1987-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1987-05-15","sa":"https://sa.vidhyamitra.com/city/rishikesh/1987-05-15","hi":"https://hi.vidhyamitra.com/city/rishikesh/1987-05-15","x-default":"https://vidhyamitra.com/city/rishikesh/1987-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:41:43.354Z","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":"2026-05-31T12:41:43.354Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:41:43.354Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}