{"id":"vidhyamitra:city-day:rishikesh:2087-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-04-30","date_display":"April 30, 2087 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":2087,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483440.770833,"kali_year":5189,"ahargana":1894975.2708,"sun":{"sidereal_longitude":14.7546,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.2639,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.5093,"elapsed_within_tithi_degrees":11.5093},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.2639,"elapsed_within_degrees":4.9306},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.0185},"karana":{"half_tithi_index":53,"name":"Taitila"},"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":2087,"month":4,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483440.770833,"ahargana":1894975.2708,"kali_year":5189,"ayanamsa_lahiri":25.0729,"grahas":{"sun":{"sidereal_longitude":14.888057000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":336.70045700000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":3.7654},"mars":{"sidereal_longitude":89.82575700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":28.842456999999968,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":133.015557,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":58.291157,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":8.523457000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":215.0909,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.0909,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483440.770833,"kali_year":5189,"ahargana":1894975.2708,"sun":{"sidereal_longitude":14.7546,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.2639,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":323.5093,"elapsed_within_tithi_degrees":11.5093},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.2639,"elapsed_within_degrees":4.9306},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":353.0185},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.765,"elongation":36.491},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.765,"opposition_distance":143.509}},"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":"05:35","sunsetLocal":"18:53","solarNoonLocal":"12:14","dayLengthHours":13.308595822041775,"dayLengthDisplay":"13 Hours 18 Mins 31 Secs","nightLengthDisplay":"10 Hours 41 Mins 29 Secs","moonriseLocal":"03:37","moonsetLocal":"15:46","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:54","startHours":12.235735646846631,"endHours":13.899310124601852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:55","startHours":7.2450122135809645,"endHours":8.908586691336186,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:14","startHours":10.572161169091409,"endHours":12.235735646846631,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.686776760968824,"endHours":9.13039662170355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:29","startHours":6.13596256174415,"endHours":6.490858450331931,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:41","startHours":11.792115786111905,"endHours":12.679355507581358,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:48","end":"04:42","startHours":3.806958292886839,"endHours":4.694198014356291,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:35","startHours":4.472388083988928,"endHours":5.581437735825743,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:20","startHours":14.45383495052026,"endHours":15.341074671989713,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.69003355786752,"endHours":19.090033557867518,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:27","startHours":18.89003355786752,"endHours":19.444558383785925,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.64003355786752,"endHours":20.39003355786752,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:41","startHours":23.792115786111907,"endHours":24.679355507581356,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:35","end":"07:15","startHours":5.581437735825743,"endHours":7.2450122135809645,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:55","startHours":7.2450122135809645,"endHours":8.908586691336186,"quality":"auspicious"},{"name":"Kāla","start":"08:55","end":"10:34","startHours":8.908586691336186,"endHours":10.572161169091409,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:14","startHours":10.572161169091409,"endHours":12.235735646846631,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:54","startHours":12.235735646846631,"endHours":13.899310124601852,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:34","startHours":13.899310124601852,"endHours":15.562884602357075,"quality":"inauspicious"},{"name":"Chala","start":"15:34","end":"17:14","startHours":15.562884602357075,"endHours":17.226459080112296,"quality":"neutral"},{"name":"Labha","start":"17:14","end":"18:53","startHours":17.226459080112296,"endHours":18.89003355786752,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:14","startHours":18.89003355786752,"endHours":20.226459080112296,"quality":"inauspicious"},{"name":"Chala","start":"20:14","end":"21:34","startHours":20.226459080112296,"endHours":21.562884602357073,"quality":"neutral"},{"name":"Labha","start":"21:34","end":"22:54","startHours":21.562884602357073,"endHours":22.899310124601854,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:14","startHours":22.899310124601854,"endHours":24.23573564684663,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:34","startHours":24.23573564684663,"endHours":25.57216116909141,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:55","startHours":25.57216116909141,"endHours":26.908586691336186,"quality":"auspicious"},{"name":"Roga","start":"02:55","end":"04:15","startHours":26.908586691336186,"endHours":28.245012213580964,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:35","startHours":28.245012213580964,"endHours":29.581437735825745,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.581437735825743,"endHours":6.581437735825743,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.581437735825743,"endHours":7.581437735825743,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.581437735825743,"endHours":8.581437735825743,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.581437735825743,"endHours":9.581437735825743,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.581437735825743,"endHours":10.581437735825743,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.581437735825743,"endHours":11.581437735825743,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.581437735825743,"endHours":12.581437735825743,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.581437735825743,"endHours":13.581437735825743,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.581437735825743,"endHours":14.581437735825743,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.581437735825743,"endHours":15.581437735825743,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.581437735825743,"endHours":16.581437735825745,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.581437735825745,"endHours":17.581437735825745,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.581437735825745,"endHours":18.581437735825745,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.581437735825745,"endHours":19.581437735825745,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.581437735825745,"endHours":20.581437735825745,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.581437735825745,"endHours":21.581437735825745,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.581437735825745,"endHours":22.581437735825745,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.581437735825745,"endHours":23.581437735825745,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.581437735825745,"endHours":24.581437735825745,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.581437735825745,"endHours":25.581437735825745,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.581437735825745,"endHours":26.581437735825745,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.581437735825745,"endHours":27.581437735825745,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.581437735825745,"endHours":28.581437735825745,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.581437735825745,"endHours":29.581437735825745,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.800240749715744,"eotMinutes":2.785461189202204,"ayanamsa":25.0729}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","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 Kṛṣṇa Dvādaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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 30, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"April 30, 2087 CE for Ṛṣikeśa: Kṛṣṇa Dvādaśī, sūryodaya 05:35, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-04-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-04-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-04-30","x-default":"https://vidhyamitra.com/city/rishikesh/2087-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T11:27:03.606Z","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":"2026-05-31T11:27:03.606Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T11:27:03.606Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}