{"id":"vidhyamitra:city-day:rishikesh:2087-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-07-24","date_display":"July 24, 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":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483525.770833,"kali_year":5189,"ahargana":1895060.2708,"sun":{"sidereal_longitude":95.6747,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":21.2335,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.5589,"elapsed_within_tithi_degrees":9.5589},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.2335,"elapsed_within_degrees":7.9002},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.9082},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483525.770833,"ahargana":1895060.2708,"kali_year":5189,"ayanamsa_lahiri":25.0761,"grahas":{"sun":{"sidereal_longitude":96.36581000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":20.72820999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":0.7306},"mars":{"sidereal_longitude":138.20610999999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":88.81450999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":141.14950999999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":97.84661,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":17.067909999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.5872,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.5872,"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":"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":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483525.770833,"kali_year":5189,"ahargana":1895060.2708,"sun":{"sidereal_longitude":95.6747,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":21.2335,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":285.5589,"elapsed_within_tithi_degrees":9.5589},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.2335,"elapsed_within_degrees":7.9002},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.9082},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.731,"elongation":74.441},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.731,"opposition_distance":105.559}},"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":"05:31","sunsetLocal":"19:16","solarNoonLocal":"12:23","dayLengthHours":13.748330675471761,"dayLengthDisplay":"13 Hours 44 Mins 54 Secs","nightLengthDisplay":"10 Hours 15 Mins 06 Secs","moonriseLocal":"00:38","moonsetLocal":"14:03","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:49","startHours":14.103370834285945,"endHours":15.821912168719916,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:31","end":"07:14","startHours":5.510664162116095,"endHours":7.229205496550065,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:57","end":"10:40","startHours":8.947746830984036,"endHours":10.666288165418006,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:11","startHours":8.71860798639284,"endHours":9.176885675575232,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.083511273594085,"endHours":6.450133424939999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.926551810669583,"endHours":12.843107189034367,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.6775534053865266,"endHours":4.594108783751311,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:31","startHours":4.364969939160115,"endHours":5.510664162116095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.676217945763936,"endHours":15.59277332412872,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.058994837587857,"endHours":19.458994837587856,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:50","startHours":19.258994837587856,"endHours":19.831841949065847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.008994837587856,"endHours":20.758994837587856,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.926551810669583,"endHours":24.843107189034367,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:31","end":"07:14","startHours":5.510664162116095,"endHours":7.229205496550065,"quality":"auspicious"},{"name":"Roga","start":"07:14","end":"08:57","startHours":7.229205496550065,"endHours":8.947746830984036,"quality":"inauspicious"},{"name":"Udveg","start":"08:57","end":"10:40","startHours":8.947746830984036,"endHours":10.666288165418006,"quality":"inauspicious"},{"name":"Chala","start":"10:40","end":"12:23","startHours":10.666288165418006,"endHours":12.384829499851975,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:06","startHours":12.384829499851975,"endHours":14.103370834285945,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:49","startHours":14.103370834285945,"endHours":15.821912168719916,"quality":"auspicious"},{"name":"Kāla","start":"15:49","end":"17:32","startHours":15.821912168719916,"endHours":17.540453503153884,"quality":"inauspicious"},{"name":"Śubha","start":"17:32","end":"19:16","startHours":17.540453503153884,"endHours":19.258994837587856,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:16","end":"20:32","startHours":19.258994837587856,"endHours":20.540453503153888,"quality":"auspicious"},{"name":"Kāla","start":"20:32","end":"21:49","startHours":20.540453503153888,"endHours":21.821912168719916,"quality":"inauspicious"},{"name":"Śubha","start":"21:49","end":"23:06","startHours":21.821912168719916,"endHours":23.103370834285947,"quality":"auspicious"},{"name":"Roga","start":"23:06","end":"00:23","startHours":23.103370834285947,"endHours":24.384829499851975,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:40","startHours":24.384829499851975,"endHours":25.666288165418006,"quality":"inauspicious"},{"name":"Chala","start":"01:40","end":"02:57","startHours":25.666288165418006,"endHours":26.947746830984038,"quality":"neutral"},{"name":"Labha","start":"02:57","end":"04:14","startHours":26.947746830984038,"endHours":28.229205496550065,"quality":"auspicious"},{"name":"Amṛta","start":"04:14","end":"05:31","startHours":28.229205496550065,"endHours":29.510664162116093,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.510664162116095,"endHours":6.510664162116095,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.510664162116095,"endHours":7.510664162116095,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.510664162116095,"endHours":8.510664162116095,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.510664162116095,"endHours":9.510664162116095,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.510664162116095,"endHours":10.510664162116095,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.510664162116095,"endHours":11.510664162116095,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.510664162116095,"endHours":12.510664162116095,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.510664162116095,"endHours":13.510664162116095,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.510664162116095,"endHours":14.510664162116095,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.510664162116095,"endHours":15.510664162116095,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.510664162116095,"endHours":16.510664162116093,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.510664162116093,"endHours":17.510664162116093,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.510664162116093,"endHours":18.510664162116093,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.510664162116093,"endHours":19.510664162116093,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.510664162116093,"endHours":20.510664162116093,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.510664162116093,"endHours":21.510664162116093,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.510664162116093,"endHours":22.510664162116093,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.510664162116093,"endHours":23.510664162116093,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.510664162116093,"endHours":24.510664162116093,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.510664162116093,"endHours":25.510664162116093,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.510664162116093,"endHours":26.510664162116093,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.510664162116093,"endHours":27.510664162116093,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.510664162116093,"endHours":28.510664162116093,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.510664162116093,"endHours":29.510664162116093,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.836253742652953,"eotMinutes":-6.160169991118456,"ayanamsa":25.0761}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 July 24, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"July 24, 2087 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:31, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-07-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-07-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-07-24","x-default":"https://vidhyamitra.com/city/rishikesh/2087-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T17:02:44.003Z","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":"2026-05-19T17:02:44.003Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T17:02:44.003Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}