{"id":"vidhyamitra:city-day:rishikesh:2081-10-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2081-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2081-10-05","date_display":"October 5, 2081 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":2081,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481407.770833,"kali_year":5183,"ahargana":1892942.2708,"sun":{"sidereal_longitude":166.5572,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":197.903,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.3458,"elapsed_within_tithi_degrees":7.3458},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.903,"elapsed_within_degrees":11.2363},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.4602},"karana":{"half_tithi_index":5,"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":2081,"month":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481407.770833,"ahargana":1892942.2708,"kali_year":5183,"ayanamsa_lahiri":24.9951,"grahas":{"sun":{"sidereal_longitude":167.50113299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":199.648733,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false,"latitude":-3.6892},"mars":{"sidereal_longitude":148.631733,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":151.82843300000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":324.73723300000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":147.582633,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":295.433233,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":322.809,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":142.809,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2081,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481407.770833,"kali_year":5183,"ahargana":1892942.2708,"sun":{"sidereal_longitude":166.5572,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":197.903,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.3458,"elapsed_within_tithi_degrees":7.3458},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.903,"elapsed_within_degrees":11.2363},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":4.4602},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.689,"elongation":31.346},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.689,"opposition_distance":148.654}},"eclipse_window_40days":[{"offset_days":-17,"type":"lunar","occurs":true,"moon_latitude":0.46,"opposition_distance":0.326}]},"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":"06:12","sunsetLocal":"17:57","solarNoonLocal":"12:05","dayLengthHours":11.746462235489384,"dayLengthDisplay":"11 Hours 44 Mins 47 Secs","nightLengthDisplay":"12 Hours 15 Mins 13 Secs","moonriseLocal":"08:49","moonsetLocal":"19:37","rahuKala":{"name":"Rāhu Kāla","start":"16:29","end":"17:57","startHours":16.480545333969033,"endHours":17.948853113405207,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:05","end":"13:33","startHours":12.075621995660516,"endHours":13.543929775096688,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:01","end":"16:29","startHours":15.012237554532861,"endHours":16.480545333969033,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:20","startHours":8.943232066196678,"endHours":9.334780807379659,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:00","startHours":6.691826804394547,"endHours":7.005065797340931,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:28","startHours":11.684073254477536,"endHours":12.467170736843496,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:38","end":"05:25","startHours":4.636195913183905,"endHours":5.419293395549865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:13","end":"06:12","startHours":5.2235190249583745,"endHours":6.202390877915823,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:49","startHours":14.033365701575413,"endHours":14.816463183941371,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.748853113405207,"endHours":18.148853113405206,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:26","startHours":17.948853113405207,"endHours":18.43828903988393,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.698853113405207,"endHours":19.448853113405207,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:28","startHours":23.684073254477536,"endHours":24.467170736843496,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:12","end":"07:40","startHours":6.202390877915823,"endHours":7.670698657351996,"quality":"inauspicious"},{"name":"Chala","start":"07:40","end":"09:08","startHours":7.670698657351996,"endHours":9.139006436788168,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:36","startHours":9.139006436788168,"endHours":10.607314216224342,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:05","startHours":10.607314216224342,"endHours":12.075621995660516,"quality":"auspicious"},{"name":"Kāla","start":"12:05","end":"13:33","startHours":12.075621995660516,"endHours":13.543929775096688,"quality":"inauspicious"},{"name":"Śubha","start":"13:33","end":"15:01","startHours":13.543929775096688,"endHours":15.012237554532861,"quality":"auspicious"},{"name":"Roga","start":"15:01","end":"16:29","startHours":15.012237554532861,"endHours":16.480545333969033,"quality":"inauspicious"},{"name":"Udveg","start":"16:29","end":"17:57","startHours":16.480545333969033,"endHours":17.948853113405207,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:57","end":"19:29","startHours":17.948853113405207,"endHours":19.480545333969033,"quality":"auspicious"},{"name":"Roga","start":"19:29","end":"21:01","startHours":19.480545333969033,"endHours":21.01223755453286,"quality":"inauspicious"},{"name":"Udveg","start":"21:01","end":"22:33","startHours":21.01223755453286,"endHours":22.543929775096686,"quality":"inauspicious"},{"name":"Chala","start":"22:33","end":"00:05","startHours":22.543929775096686,"endHours":24.075621995660516,"quality":"neutral"},{"name":"Labha","start":"00:05","end":"01:36","startHours":24.075621995660516,"endHours":25.607314216224342,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"03:08","startHours":25.607314216224342,"endHours":27.13900643678817,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:40","startHours":27.13900643678817,"endHours":28.670698657352,"quality":"inauspicious"},{"name":"Śubha","start":"04:40","end":"06:12","startHours":28.670698657352,"endHours":30.202390877915825,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.202390877915823,"endHours":7.202390877915823,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.202390877915823,"endHours":8.202390877915823,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.202390877915823,"endHours":9.202390877915823,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.202390877915823,"endHours":10.202390877915823,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.202390877915823,"endHours":11.202390877915823,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.202390877915823,"endHours":12.202390877915823,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.202390877915823,"endHours":13.202390877915823,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.202390877915823,"endHours":14.202390877915823,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.202390877915823,"endHours":15.202390877915823,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.202390877915823,"endHours":16.202390877915825,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.202390877915825,"endHours":17.202390877915825,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.202390877915825,"endHours":18.202390877915825,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.202390877915825,"endHours":19.202390877915825,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.202390877915825,"endHours":20.202390877915825,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.202390877915825,"endHours":21.202390877915825,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.202390877915825,"endHours":22.202390877915825,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.202390877915825,"endHours":23.202390877915825,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.202390877915825,"endHours":24.202390877915825,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.202390877915825,"endHours":25.202390877915825,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.202390877915825,"endHours":26.202390877915825,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.202390877915825,"endHours":27.202390877915825,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.202390877915825,"endHours":28.202390877915825,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.202390877915825,"endHours":29.202390877915825,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.202390877915825,"endHours":30.202390877915825,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.936954767270493,"eotMinutes":12.392280260369008,"ayanamsa":24.9951}},"calendars":{"vikram_samvat":2138,"vikram_samvatsara":"Ānanda","saka_samvat":2003,"saka_samvatsara":"Plava","bengali_samvat":1488,"malayalam_era":1257,"nanakshahi_year":612,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram 2138 Ānanda · Śaka 2003 Plava"},"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 October 5, 2081 CE · Ṛṣikeśa · Vidhyamitra","description":"October 5, 2081 CE for Ṛṣikeśa: Śukla Tṛtīyā, sūryodaya 06:12, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2081-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2081-10-05","sa":"https://sa.vidhyamitra.com/city/rishikesh/2081-10-05","hi":"https://hi.vidhyamitra.com/city/rishikesh/2081-10-05","x-default":"https://vidhyamitra.com/city/rishikesh/2081-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:26:16.788Z","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":"2026-06-01T00:26:16.788Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:26:16.788Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}