{"id":"vidhyamitra:city-day:rishikesh:2040-08-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2040-08-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-08-09","date_display":"August 9, 2040 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466375.770833,"kali_year":5142,"ahargana":1877910.2708,"sun":{"sidereal_longitude":111.989,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":124.7398,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.7508,"elapsed_within_tithi_degrees":0.7508},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.7398,"elapsed_within_degrees":4.7398},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.7288},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2040,"month":8,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466375.770833,"ahargana":1877910.2708,"kali_year":5142,"ayanamsa_lahiri":24.4202,"grahas":{"sun":{"sidereal_longitude":112.66866599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.94766599999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":4.4859},"mars":{"sidereal_longitude":151.57426600000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":107.51736599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.57466599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":131.201166,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":163.17996600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":39.2767,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.2767,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2040,"month":8,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466375.770833,"kali_year":5142,"ahargana":1877910.2708,"sun":{"sidereal_longitude":111.989,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":124.7398,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.7508,"elapsed_within_tithi_degrees":0.7508},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.7398,"elapsed_within_degrees":4.7398},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.7288},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.486,"elongation":12.751},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.486,"opposition_distance":167.249}},"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":"05:41","sunsetLocal":"19:04","solarNoonLocal":"12:22","dayLengthHours":13.386046537937151,"dayLengthDisplay":"13 Hours 23 Mins 10 Secs","nightLengthDisplay":"10 Hours 36 Mins 50 Secs","moonriseLocal":"06:36","moonsetLocal":"19:38","rahuKala":{"name":"Rāhu Kāla","start":"14:03","end":"15:43","startHours":14.04228121507768,"endHours":15.715537032319826,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:41","end":"07:21","startHours":5.676002128866961,"endHours":7.349257946109105,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:01","end":"10:42","startHours":9.022513763351249,"endHours":10.695769580593392,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.799412987718963,"endHours":9.245614538983535,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.233754067947675,"endHours":6.590715308959332,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:49","startHours":11.922823846570966,"endHours":12.81522694910011,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.891195923808674,"endHours":4.783599026337818,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.560498250705532,"endHours":5.676002128866961,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:30","startHours":14.600033154158396,"endHours":15.49243625668754,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.862048666804114,"endHours":19.262048666804112,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:37","startHours":19.062048666804113,"endHours":19.619800605884826,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.812048666804113,"endHours":20.562048666804113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:49","startHours":23.922823846570964,"endHours":24.815226949100108,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:41","end":"07:21","startHours":5.676002128866961,"endHours":7.349257946109105,"quality":"auspicious"},{"name":"Roga","start":"07:21","end":"09:01","startHours":7.349257946109105,"endHours":9.022513763351249,"quality":"inauspicious"},{"name":"Udveg","start":"09:01","end":"10:42","startHours":9.022513763351249,"endHours":10.695769580593392,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:22","startHours":10.695769580593392,"endHours":12.369025397835536,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"14:03","startHours":12.369025397835536,"endHours":14.04228121507768,"quality":"auspicious"},{"name":"Amṛta","start":"14:03","end":"15:43","startHours":14.04228121507768,"endHours":15.715537032319826,"quality":"auspicious"},{"name":"Kāla","start":"15:43","end":"17:23","startHours":15.715537032319826,"endHours":17.38879284956197,"quality":"inauspicious"},{"name":"Śubha","start":"17:23","end":"19:04","startHours":17.38879284956197,"endHours":19.062048666804113,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:04","end":"20:23","startHours":19.062048666804113,"endHours":20.38879284956197,"quality":"auspicious"},{"name":"Kāla","start":"20:23","end":"21:43","startHours":20.38879284956197,"endHours":21.715537032319826,"quality":"inauspicious"},{"name":"Śubha","start":"21:43","end":"23:03","startHours":21.715537032319826,"endHours":23.042281215077683,"quality":"auspicious"},{"name":"Roga","start":"23:03","end":"00:22","startHours":23.042281215077683,"endHours":24.369025397835536,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:42","startHours":24.369025397835536,"endHours":25.695769580593392,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"03:01","startHours":25.695769580593392,"endHours":27.02251376335125,"quality":"neutral"},{"name":"Labha","start":"03:01","end":"04:21","startHours":27.02251376335125,"endHours":28.349257946109105,"quality":"auspicious"},{"name":"Amṛta","start":"04:21","end":"05:41","startHours":28.349257946109105,"endHours":29.676002128866962,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.676002128866961,"endHours":6.676002128866961,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.676002128866961,"endHours":7.676002128866961,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.676002128866961,"endHours":8.676002128866962,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.676002128866962,"endHours":9.676002128866962,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.676002128866962,"endHours":10.676002128866962,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.676002128866962,"endHours":11.676002128866962,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.676002128866962,"endHours":12.676002128866962,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.676002128866962,"endHours":13.676002128866962,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.676002128866962,"endHours":14.676002128866962,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.676002128866962,"endHours":15.676002128866962,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.676002128866962,"endHours":16.676002128866962,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.676002128866962,"endHours":17.676002128866962,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.676002128866962,"endHours":18.676002128866962,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.676002128866962,"endHours":19.676002128866962,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.676002128866962,"endHours":20.676002128866962,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.676002128866962,"endHours":21.676002128866962,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.676002128866962,"endHours":22.676002128866962,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.676002128866962,"endHours":23.676002128866962,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.676002128866962,"endHours":24.676002128866962,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.676002128866962,"endHours":25.676002128866962,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.676002128866962,"endHours":26.676002128866962,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.676002128866962,"endHours":27.676002128866962,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.676002128866962,"endHours":28.676002128866962,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.676002128866962,"endHours":29.676002128866962,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.711960330047633,"eotMinutes":-5.211923870132258,"ayanamsa":24.4202}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[],"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 August 9, 2040 CE · Ṛṣikeśa · Vidhyamitra","description":"August 9, 2040 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:41, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2040-08-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2040-08-09","sa":"https://sa.vidhyamitra.com/city/rishikesh/2040-08-09","hi":"https://hi.vidhyamitra.com/city/rishikesh/2040-08-09","x-default":"https://vidhyamitra.com/city/rishikesh/2040-08-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-08T19:34:51.791Z","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":"2026-08-08T19:34:51.791Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-08T19:34:51.791Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}