{"id":"vidhyamitra:city-day:rishikesh:2087-11-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2087-11-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-11-02","date_display":"November 2, 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":11,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483626.770833,"kali_year":5189,"ahargana":1895161.2708,"sun":{"sidereal_longitude":193.8652,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":269.6739,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.8087,"elapsed_within_tithi_degrees":3.8087},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.6739,"elapsed_within_degrees":3.0072},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.5391},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":11,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483626.770833,"ahargana":1895161.2708,"kali_year":5189,"ayanamsa_lahiri":25.08,"grahas":{"sun":{"sidereal_longitude":194.76125100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":266.140451,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.0588},"mars":{"sidereal_longitude":204.49935099999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":179.63865099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":162.04635099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":149.382951,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":14.457050999999979,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":205.2357,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.2357,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2087,"month":11,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483626.770833,"kali_year":5189,"ahargana":1895161.2708,"sun":{"sidereal_longitude":193.8652,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":269.6739,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":75.8087,"elapsed_within_tithi_degrees":3.8087},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1,"moon_longitude":269.6739,"elapsed_within_degrees":3.0072},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":103.5391},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.059,"elongation":75.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.059,"opposition_distance":104.191}},"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":"06:32","sunsetLocal":"17:29","solarNoonLocal":"12:01","dayLengthHours":10.963235853998027,"dayLengthDisplay":"10 Hours 57 Mins 48 Secs","nightLengthDisplay":"13 Hours 02 Mins 12 Secs","moonriseLocal":"11:37","moonsetLocal":"21:56","rahuKala":{"name":"Rāhu Kāla","start":"16:07","end":"17:29","startHours":16.119737958506015,"endHours":17.490142440255767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:01","end":"13:23","startHours":12.008524513256752,"endHours":13.378928995006508,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:45","end":"16:07","startHours":14.74933347675626,"endHours":16.119737958506015,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.084994952190613,"endHours":9.450436147323881,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:17","startHours":6.983708080174324,"endHours":7.276061036280938,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:22","startHours":11.643083318123484,"endHours":12.37396570839002,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:48","startHours":5.06514180572467,"endHours":5.796024195991205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:32","startHours":5.6133035984245705,"endHours":6.52690658625774,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:34","startHours":13.83573048892309,"endHours":14.566612879189625,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.290142440255767,"endHours":17.690142440255766,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:57","startHours":17.490142440255767,"endHours":17.94694393417235,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.240142440255767,"endHours":18.990142440255767,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:22","startHours":23.643083318123484,"endHours":24.37396570839002,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:32","end":"07:54","startHours":6.52690658625774,"endHours":7.897311068007493,"quality":"inauspicious"},{"name":"Chala","start":"07:54","end":"09:16","startHours":7.897311068007493,"endHours":9.267715549757247,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:38","startHours":9.267715549757247,"endHours":10.638120031507,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:01","startHours":10.638120031507,"endHours":12.008524513256752,"quality":"auspicious"},{"name":"Kāla","start":"12:01","end":"13:23","startHours":12.008524513256752,"endHours":13.378928995006508,"quality":"inauspicious"},{"name":"Śubha","start":"13:23","end":"14:45","startHours":13.378928995006508,"endHours":14.74933347675626,"quality":"auspicious"},{"name":"Roga","start":"14:45","end":"16:07","startHours":14.74933347675626,"endHours":16.119737958506015,"quality":"inauspicious"},{"name":"Udveg","start":"16:07","end":"17:29","startHours":16.119737958506015,"endHours":17.490142440255767,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:29","end":"19:07","startHours":17.490142440255767,"endHours":19.119737958506015,"quality":"auspicious"},{"name":"Roga","start":"19:07","end":"20:45","startHours":19.119737958506015,"endHours":20.74933347675626,"quality":"inauspicious"},{"name":"Udveg","start":"20:45","end":"22:23","startHours":20.74933347675626,"endHours":22.378928995006508,"quality":"inauspicious"},{"name":"Chala","start":"22:23","end":"00:01","startHours":22.378928995006508,"endHours":24.008524513256752,"quality":"neutral"},{"name":"Labha","start":"00:01","end":"01:38","startHours":24.008524513256752,"endHours":25.638120031507,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:16","startHours":25.638120031507,"endHours":27.26771554975725,"quality":"auspicious"},{"name":"Kāla","start":"03:16","end":"04:54","startHours":27.26771554975725,"endHours":28.897311068007493,"quality":"inauspicious"},{"name":"Śubha","start":"04:54","end":"06:32","startHours":28.897311068007493,"endHours":30.526906586257738,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.52690658625774,"endHours":7.52690658625774,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.52690658625774,"endHours":8.52690658625774,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.52690658625774,"endHours":9.52690658625774,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.52690658625774,"endHours":10.52690658625774,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.52690658625774,"endHours":11.52690658625774,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.52690658625774,"endHours":12.52690658625774,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.52690658625774,"endHours":13.52690658625774,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.52690658625774,"endHours":14.52690658625774,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.52690658625774,"endHours":15.52690658625774,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.52690658625774,"endHours":16.526906586257738,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.526906586257738,"endHours":17.526906586257738,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.526906586257738,"endHours":18.526906586257738,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.526906586257738,"endHours":19.526906586257738,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.526906586257738,"endHours":20.526906586257738,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.526906586257738,"endHours":21.526906586257738,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.526906586257738,"endHours":22.526906586257738,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.526906586257738,"endHours":23.526906586257738,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.526906586257738,"endHours":24.526906586257738,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.526906586257738,"endHours":25.526906586257738,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.526906586257738,"endHours":26.526906586257738,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.526906586257738,"endHours":27.526906586257738,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.526906586257738,"endHours":28.526906586257738,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.526906586257738,"endHours":29.526906586257738,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.526906586257738,"endHours":30.526906586257738,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-14.762465765765524,"eotMinutes":16.418129204594955,"ayanamsa":25.08}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Saptamī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 November 2, 2087 CE · Ṛṣikeśa · Vidhyamitra","description":"November 2, 2087 CE for Ṛṣikeśa: Śukla Saptamī, sūryodaya 06:32, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2087-11-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2087-11-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2087-11-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2087-11-02","x-default":"https://vidhyamitra.com/city/rishikesh/2087-11-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:48:36.549Z","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":"2026-06-01T22:48:36.549Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:48:36.549Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}