{"id":"vidhyamitra:city-day:perth:2165-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2165-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-08-13","date_display":"August 13, 2165 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":2165,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512034.770833,"kali_year":5267,"ahargana":1923569.2708,"sun":{"sidereal_longitude":113.5676,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":184.2653,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.6976,"elapsed_within_tithi_degrees":10.6976},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.2653,"elapsed_within_degrees":10.9319},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.8329},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2165,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512034.770833,"ahargana":1923569.2708,"kali_year":5267,"ayanamsa_lahiri":26.1665,"grahas":{"sun":{"sidereal_longitude":114.560656,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":180.80665599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":3.1368},"mars":{"sidereal_longitude":38.326256,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":111.132656,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":6.703555999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":155.48875599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":244.246356,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":140.0432,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.0432,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":2165,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512034.770833,"kali_year":5267,"ahargana":1923569.2708,"sun":{"sidereal_longitude":113.5676,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":184.2653,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.6976,"elapsed_within_tithi_degrees":10.6976},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.2653,"elapsed_within_degrees":10.9319},"yoga":{"number":23,"name":"Śubha","sum_longitude":297.8329},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.137,"elongation":70.698},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.137,"opposition_distance":109.302}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":1.339,"opposition_distance":0.064}]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"06:54","sunsetLocal":"17:48","solarNoonLocal":"12:21","dayLengthHours":10.891886153670526,"dayLengthDisplay":"10 Hours 53 Mins 31 Secs","nightLengthDisplay":"13 Hours 06 Mins 29 Secs","moonriseLocal":"10:17","moonsetLocal":"23:15","rahuKala":{"name":"Rāhu Kāla","start":"15:04","end":"16:26","startHours":15.074963550721222,"endHours":16.436449319930038,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:38","end":"10:59","startHours":9.629020473885959,"endHours":10.990506243094774,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"13:43","startHours":12.35199201230359,"endHours":13.713477781512406,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:49","startHours":9.44748903799145,"endHours":9.810551909780466,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.359877525204598,"endHours":7.650327822635812,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:43","startHours":11.988929140514573,"endHours":12.715054884092607,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:11","startHours":5.453797448312256,"endHours":6.179923191890291,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:00","end":"06:54","startHours":5.998391755995782,"endHours":6.906048935468326,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:54","startHours":14.167306371248678,"endHours":14.893432114826712,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.597935089138854,"endHours":17.997935089138853,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:15","startHours":17.797935089138853,"endHours":18.251763678875125,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.547935089138853,"endHours":19.297935089138853,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:43","startHours":23.98892914051457,"endHours":24.71505488409261,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:54","end":"08:16","startHours":6.906048935468326,"endHours":8.267534704677143,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:38","startHours":8.267534704677143,"endHours":9.629020473885959,"quality":"inauspicious"},{"name":"Chala","start":"09:38","end":"10:59","startHours":9.629020473885959,"endHours":10.990506243094774,"quality":"neutral"},{"name":"Labha","start":"10:59","end":"12:21","startHours":10.990506243094774,"endHours":12.35199201230359,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"13:43","startHours":12.35199201230359,"endHours":13.713477781512406,"quality":"auspicious"},{"name":"Kāla","start":"13:43","end":"15:04","startHours":13.713477781512406,"endHours":15.074963550721222,"quality":"inauspicious"},{"name":"Śubha","start":"15:04","end":"16:26","startHours":15.074963550721222,"endHours":16.436449319930038,"quality":"auspicious"},{"name":"Roga","start":"16:26","end":"17:48","startHours":16.436449319930038,"endHours":17.797935089138853,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:48","end":"19:26","startHours":17.797935089138853,"endHours":19.436449319930038,"quality":"inauspicious"},{"name":"Śubha","start":"19:26","end":"21:04","startHours":19.436449319930038,"endHours":21.074963550721222,"quality":"auspicious"},{"name":"Roga","start":"21:04","end":"22:43","startHours":21.074963550721222,"endHours":22.713477781512406,"quality":"inauspicious"},{"name":"Udveg","start":"22:43","end":"00:21","startHours":22.713477781512406,"endHours":24.35199201230359,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"01:59","startHours":24.35199201230359,"endHours":25.990506243094774,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"03:38","startHours":25.990506243094774,"endHours":27.62902047388596,"quality":"auspicious"},{"name":"Amṛta","start":"03:38","end":"05:16","startHours":27.62902047388596,"endHours":29.267534704677143,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:54","startHours":29.267534704677143,"endHours":30.906048935468327,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.906048935468326,"endHours":7.906048935468326,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.906048935468326,"endHours":8.906048935468327,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.906048935468327,"endHours":9.906048935468327,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.906048935468327,"endHours":10.906048935468327,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.906048935468327,"endHours":11.906048935468327,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.906048935468327,"endHours":12.906048935468327,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.906048935468327,"endHours":13.906048935468327,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.906048935468327,"endHours":14.906048935468327,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.906048935468327,"endHours":15.906048935468327,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.906048935468327,"endHours":16.906048935468327,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.906048935468327,"endHours":17.906048935468327,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.906048935468327,"endHours":18.906048935468327,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.906048935468327,"endHours":19.906048935468327,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.906048935468327,"endHours":20.906048935468327,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.906048935468327,"endHours":21.906048935468327,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.906048935468327,"endHours":22.906048935468327,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.906048935468327,"endHours":23.906048935468327,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.906048935468327,"endHours":24.906048935468327,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.906048935468327,"endHours":25.906048935468327,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.906048935468327,"endHours":26.906048935468327,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.906048935468327,"endHours":27.906048935468327,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.906048935468327,"endHours":28.906048935468327,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.906048935468327,"endHours":29.906048935468327,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.906048935468327,"endHours":30.906048935468327,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.582289944412043,"eotMinutes":-4.561520738215509,"ayanamsa":26.1665}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Ṣaṣṭhī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"kalki-jayanti","name":"Kalki Jayantī","name_sanskrit":"कल्कि जयन्ती","tradition":"Vaishnava","associated_deity":"Kalki (10th daśāvatāra of Krishna)","deity_avatara_index":22,"significance":"Future Kalki avatāra — to manifest at end of Kali Yuga; observed Śrāvaṇa Śukla 6.","vrata":false,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Bhāgavata 12.2.18-20","Kalki Purāṇa"]}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 13, 2165 CE · Perth, Australia · Vidhyamitra","description":"August 13, 2165 CE for Perth, Australia: Śukla Ṣaṣṭhī, sūryodaya 06:54, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2165-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2165-08-13","sa":"https://sa.vidhyamitra.com/city/perth/2165-08-13","hi":"https://hi.vidhyamitra.com/city/perth/2165-08-13","x-default":"https://vidhyamitra.com/city/perth/2165-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:01:05.291Z","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":"2026-06-01T04:01:05.291Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:01:05.291Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}